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Finding the Fourth Proportional to 650,324.34, 897,463.53 and 363,862.98

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Solution

The fourth proportional to 650,324.34, 897,463.53 and 363,862.98 is: 502,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,324.34 : 897,463.53 = 363,862.98 : x
  2. Step 2: Convert to fraction form
    650,324.34/897,463.53 = 363,862.98/x
  3. Step 3: Cross multiply
    650,324.34x = 897,463.53 × 363,862.98
  4. Step 4: Simplify right side
    650,324.34x = 326,553,754,467.12
  5. Step 5: Solve for x
    x = 326,553,754,467.12/650,324.34
  6. Step 6: Final answer
    x = 502,139.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.