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Finding the Fourth Proportional to 293,447.86, 440,002.98 and 156,502.03

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Solution

The fourth proportional to 293,447.86, 440,002.98 and 156,502.03 is: 234,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,447.86 : 440,002.98 = 156,502.03 : x
  2. Step 2: Convert to fraction form
    293,447.86/440,002.98 = 156,502.03/x
  3. Step 3: Cross multiply
    293,447.86x = 440,002.98 × 156,502.03
  4. Step 4: Simplify right side
    293,447.86x = 68,861,359,576.05
  5. Step 5: Solve for x
    x = 68,861,359,576.05/293,447.86
  6. Step 6: Final answer
    x = 234,663.02

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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.