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Finding the Fourth Proportional to 435,204.78, 652,282.20 and 224,727.98

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Solution

The fourth proportional to 435,204.78, 652,282.20 and 224,727.98 is: 336,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,204.78 : 652,282.20 = 224,727.98 : x
  2. Step 2: Convert to fraction form
    435,204.78/652,282.20 = 224,727.98/x
  3. Step 3: Cross multiply
    435,204.78x = 652,282.20 × 224,727.98
  4. Step 4: Simplify right side
    435,204.78x = 146,586,061,195.96
  5. Step 5: Solve for x
    x = 146,586,061,195.96/435,204.78
  6. Step 6: Final answer
    x = 336,820.89

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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.