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Finding the Fourth Proportional to 647,523.20, 972,159.60 and 411,327.20

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Solution

The fourth proportional to 647,523.20, 972,159.60 and 411,327.20 is: 617,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,523.20 : 972,159.60 = 411,327.20 : x
  2. Step 2: Convert to fraction form
    647,523.20/972,159.60 = 411,327.20/x
  3. Step 3: Cross multiply
    647,523.20x = 972,159.60 × 411,327.20
  4. Step 4: Simplify right side
    647,523.20x = 399,875,686,221.12
  5. Step 5: Solve for x
    x = 399,875,686,221.12/647,523.20
  6. Step 6: Final answer
    x = 617,546.50

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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.