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Finding the Fourth Proportional to 513,743.40, 708,937.38 and 287,345.16

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Solution

The fourth proportional to 513,743.40, 708,937.38 and 287,345.16 is: 396,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,743.40 : 708,937.38 = 287,345.16 : x
  2. Step 2: Convert to fraction form
    513,743.40/708,937.38 = 287,345.16/x
  3. Step 3: Cross multiply
    513,743.40x = 708,937.38 × 287,345.16
  4. Step 4: Simplify right side
    513,743.40x = 203,709,724,886.08
  5. Step 5: Solve for x
    x = 203,709,724,886.08/513,743.40
  6. Step 6: Final answer
    x = 396,520.37

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Why These Related Problems?

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