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Finding the Fourth Proportional to 513,658.24, 708,809.88 and 287,260

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Solution

The fourth proportional to 513,658.24, 708,809.88 and 287,260 is: 396,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,658.24 : 708,809.88 = 287,260 : x
  2. Step 2: Convert to fraction form
    513,658.24/708,809.88 = 287,260/x
  3. Step 3: Cross multiply
    513,658.24x = 708,809.88 × 287,260
  4. Step 4: Simplify right side
    513,658.24x = 203,612,726,128.80
  5. Step 5: Solve for x
    x = 203,612,726,128.80/513,658.24
  6. Step 6: Final answer
    x = 396,397.27

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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.