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Finding the Fourth Proportional to 415,717.20, 623,575.80 and 149,486.40

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Solution

The fourth proportional to 415,717.20, 623,575.80 and 149,486.40 is: 224,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,717.20 : 623,575.80 = 149,486.40 : x
  2. Step 2: Convert to fraction form
    415,717.20/623,575.80 = 149,486.40/x
  3. Step 3: Cross multiply
    415,717.20x = 623,575.80 × 149,486.40
  4. Step 4: Simplify right side
    415,717.20x = 93,216,101,469.12
  5. Step 5: Solve for x
    x = 93,216,101,469.12/415,717.20
  6. Step 6: Final answer
    x = 224,229.60

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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.