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Finding the Fourth Proportional to 532,097.40, 796,202.10 and 392,129.40

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Solution

The fourth proportional to 532,097.40, 796,202.10 and 392,129.40 is: 586,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,097.40 : 796,202.10 = 392,129.40 : x
  2. Step 2: Convert to fraction form
    532,097.40/796,202.10 = 392,129.40/x
  3. Step 3: Cross multiply
    532,097.40x = 796,202.10 × 392,129.40
  4. Step 4: Simplify right side
    532,097.40x = 312,214,251,751.74
  5. Step 5: Solve for x
    x = 312,214,251,751.74/532,097.40
  6. Step 6: Final answer
    x = 586,761.47

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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.