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Finding the Fourth Proportional to 642,720.80, 964,081.20 and 476,832.80

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Solution

The fourth proportional to 642,720.80, 964,081.20 and 476,832.80 is: 715,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,720.80 : 964,081.20 = 476,832.80 : x
  2. Step 2: Convert to fraction form
    642,720.80/964,081.20 = 476,832.80/x
  3. Step 3: Cross multiply
    642,720.80x = 964,081.20 × 476,832.80
  4. Step 4: Simplify right side
    642,720.80x = 459,705,538,023.36
  5. Step 5: Solve for x
    x = 459,705,538,023.36/642,720.80
  6. Step 6: Final answer
    x = 715,249.20

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.