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Finding the Fourth Proportional to 482,937.80, 725,164.92 and 409,026.92

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Solution

The fourth proportional to 482,937.80, 725,164.92 and 409,026.92 is: 614,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,937.80 : 725,164.92 = 409,026.92 : x
  2. Step 2: Convert to fraction form
    482,937.80/725,164.92 = 409,026.92/x
  3. Step 3: Cross multiply
    482,937.80x = 725,164.92 × 409,026.92
  4. Step 4: Simplify right side
    482,937.80x = 296,611,973,719.65
  5. Step 5: Solve for x
    x = 296,611,973,719.65/482,937.80
  6. Step 6: Final answer
    x = 614,182.56

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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.