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Finding the Fourth Proportional to 583,764.80, 875,647.20 and 209,825.60

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Solution

The fourth proportional to 583,764.80, 875,647.20 and 209,825.60 is: 314,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,764.80 : 875,647.20 = 209,825.60 : x
  2. Step 2: Convert to fraction form
    583,764.80/875,647.20 = 209,825.60/x
  3. Step 3: Cross multiply
    583,764.80x = 875,647.20 × 209,825.60
  4. Step 4: Simplify right side
    583,764.80x = 183,733,199,128.32
  5. Step 5: Solve for x
    x = 183,733,199,128.32/583,764.80
  6. Step 6: Final answer
    x = 314,738.40

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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.