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Finding the Fourth Proportional to 513,205.20, 708,200.88 and 280,627.86

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Solution

The fourth proportional to 513,205.20, 708,200.88 and 280,627.86 is: 387,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,205.20 : 708,200.88 = 280,627.86 : x
  2. Step 2: Convert to fraction form
    513,205.20/708,200.88 = 280,627.86/x
  3. Step 3: Cross multiply
    513,205.20x = 708,200.88 × 280,627.86
  4. Step 4: Simplify right side
    513,205.20x = 198,740,897,404.52
  5. Step 5: Solve for x
    x = 198,740,897,404.52/513,205.20
  6. Step 6: Final answer
    x = 387,254.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.