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Finding the Fourth Proportional to 501,891.29, 752,837.41 and 412,957.84

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Solution

The fourth proportional to 501,891.29, 752,837.41 and 412,957.84 is: 619,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,891.29 : 752,837.41 = 412,957.84 : x
  2. Step 2: Convert to fraction form
    501,891.29/752,837.41 = 412,957.84/x
  3. Step 3: Cross multiply
    501,891.29x = 752,837.41 × 412,957.84
  4. Step 4: Simplify right side
    501,891.29x = 310,890,108,640.01
  5. Step 5: Solve for x
    x = 310,890,108,640.01/501,891.29
  6. Step 6: Final answer
    x = 619,437.15

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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.