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Finding the Fourth Proportional to 462,549.71, 693,923.50 and 138,363.20

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Solution

The fourth proportional to 462,549.71, 693,923.50 and 138,363.20 is: 207,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,549.71 : 693,923.50 = 138,363.20 : x
  2. Step 2: Convert to fraction form
    462,549.71/693,923.50 = 138,363.20/x
  3. Step 3: Cross multiply
    462,549.71x = 693,923.50 × 138,363.20
  4. Step 4: Simplify right side
    462,549.71x = 96,013,476,015.20
  5. Step 5: Solve for x
    x = 96,013,476,015.20/462,549.71
  6. Step 6: Final answer
    x = 207,574.39

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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.