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Finding the Fourth Proportional to 292,627.65, 438,941.49 and 82,265.61

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Solution

The fourth proportional to 292,627.65, 438,941.49 and 82,265.61 is: 123,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,627.65 : 438,941.49 = 82,265.61 : x
  2. Step 2: Convert to fraction form
    292,627.65/438,941.49 = 82,265.61/x
  3. Step 3: Cross multiply
    292,627.65x = 438,941.49 × 82,265.61
  4. Step 4: Simplify right side
    292,627.65x = 36,109,789,429.16
  5. Step 5: Solve for x
    x = 36,109,789,429.16/292,627.65
  6. Step 6: Final answer
    x = 123,398.42

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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.