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Finding the Fourth Proportional to 409,305.11, 614,055.98 and 156,581.47

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Solution

The fourth proportional to 409,305.11, 614,055.98 and 156,581.47 is: 234,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,305.11 : 614,055.98 = 156,581.47 : x
  2. Step 2: Convert to fraction form
    409,305.11/614,055.98 = 156,581.47/x
  3. Step 3: Cross multiply
    409,305.11x = 614,055.98 × 156,581.47
  4. Step 4: Simplify right side
    409,305.11x = 96,149,784,548.96
  5. Step 5: Solve for x
    x = 96,149,784,548.96/409,305.11
  6. Step 6: Final answer
    x = 234,909.81

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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.