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Finding the Fourth Proportional to 532,866.87, 735,346.96 and 291,143.43

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Solution

The fourth proportional to 532,866.87, 735,346.96 and 291,143.43 is: 401,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,866.87 : 735,346.96 = 291,143.43 : x
  2. Step 2: Convert to fraction form
    532,866.87/735,346.96 = 291,143.43/x
  3. Step 3: Cross multiply
    532,866.87x = 735,346.96 × 291,143.43
  4. Step 4: Simplify right side
    532,866.87x = 214,091,435,446.61
  5. Step 5: Solve for x
    x = 214,091,435,446.61/532,866.87
  6. Step 6: Final answer
    x = 401,772.84

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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.