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Finding the Fourth Proportional to 501,891.16, 752,837.22 and 412,957.71

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Solution

The fourth proportional to 501,891.16, 752,837.22 and 412,957.71 is: 619,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,891.16 : 752,837.22 = 412,957.71 : x
  2. Step 2: Convert to fraction form
    501,891.16/752,837.22 = 412,957.71/x
  3. Step 3: Cross multiply
    501,891.16x = 752,837.22 × 412,957.71
  4. Step 4: Simplify right side
    501,891.16x = 310,889,935,648.51
  5. Step 5: Solve for x
    x = 310,889,935,648.51/501,891.16
  6. Step 6: Final answer
    x = 619,436.97

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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.