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Finding the Fourth Proportional to 381,817.60, 572,726.40 and 132,499.60

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Solution

The fourth proportional to 381,817.60, 572,726.40 and 132,499.60 is: 198,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,817.60 : 572,726.40 = 132,499.60 : x
  2. Step 2: Convert to fraction form
    381,817.60/572,726.40 = 132,499.60/x
  3. Step 3: Cross multiply
    381,817.60x = 572,726.40 × 132,499.60
  4. Step 4: Simplify right side
    381,817.60x = 75,886,018,909.44
  5. Step 5: Solve for x
    x = 75,886,018,909.44/381,817.60
  6. Step 6: Final answer
    x = 198,749.40

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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.