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Finding the Fourth Proportional to 409,744.24, 614,609.04 and 156,956.20

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Solution

The fourth proportional to 409,744.24, 614,609.04 and 156,956.20 is: 235,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,744.24 : 614,609.04 = 156,956.20 : x
  2. Step 2: Convert to fraction form
    409,744.24/614,609.04 = 156,956.20/x
  3. Step 3: Cross multiply
    409,744.24x = 614,609.04 × 156,956.20
  4. Step 4: Simplify right side
    409,744.24x = 96,466,699,404.05
  5. Step 5: Solve for x
    x = 96,466,699,404.05/409,744.24
  6. Step 6: Final answer
    x = 235,431.50

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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.