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Finding the Fourth Proportional to 409,537.72, 614,390.10 and 232,123.96

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Solution

The fourth proportional to 409,537.72, 614,390.10 and 232,123.96 is: 348,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,537.72 : 614,390.10 = 232,123.96 : x
  2. Step 2: Convert to fraction form
    409,537.72/614,390.10 = 232,123.96/x
  3. Step 3: Cross multiply
    409,537.72x = 614,390.10 × 232,123.96
  4. Step 4: Simplify right side
    409,537.72x = 142,614,662,996.80
  5. Step 5: Solve for x
    x = 142,614,662,996.80/409,537.72
  6. Step 6: Final answer
    x = 348,233.28

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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.