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Finding the Fourth Proportional to 614,801.40, 921,217.95 and 404,193.30

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Solution

The fourth proportional to 614,801.40, 921,217.95 and 404,193.30 is: 605,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,801.40 : 921,217.95 = 404,193.30 : x
  2. Step 2: Convert to fraction form
    614,801.40/921,217.95 = 404,193.30/x
  3. Step 3: Cross multiply
    614,801.40x = 921,217.95 × 404,193.30
  4. Step 4: Simplify right side
    614,801.40x = 372,350,123,229.74
  5. Step 5: Solve for x
    x = 372,350,123,229.74/614,801.40
  6. Step 6: Final answer
    x = 605,642.93

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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.