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Finding the Fourth Proportional to 409,459.68, 613,898.70 and 156,527.04

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Solution

The fourth proportional to 409,459.68, 613,898.70 and 156,527.04 is: 234,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,459.68 : 613,898.70 = 156,527.04 : x
  2. Step 2: Convert to fraction form
    409,459.68/613,898.70 = 156,527.04/x
  3. Step 3: Cross multiply
    409,459.68x = 613,898.70 × 156,527.04
  4. Step 4: Simplify right side
    409,459.68x = 96,091,746,370.85
  5. Step 5: Solve for x
    x = 96,091,746,370.85/409,459.68
  6. Step 6: Final answer
    x = 234,679.39

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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.