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Finding the Fourth Proportional to 415,695.70, 623,266.67 and 149,421.62

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Solution

The fourth proportional to 415,695.70, 623,266.67 and 149,421.62 is: 224,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,695.70 : 623,266.67 = 149,421.62 : x
  2. Step 2: Convert to fraction form
    415,695.70/623,266.67 = 149,421.62/x
  3. Step 3: Cross multiply
    415,695.70x = 623,266.67 × 149,421.62
  4. Step 4: Simplify right side
    415,695.70x = 93,129,515,523.41
  5. Step 5: Solve for x
    x = 93,129,515,523.41/415,695.70
  6. Step 6: Final answer
    x = 224,032.91

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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.