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Finding the Fourth Proportional to 409,541.72, 614,396.10 and 232,127.96

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Solution

The fourth proportional to 409,541.72, 614,396.10 and 232,127.96 is: 348,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,541.72 : 614,396.10 = 232,127.96 : x
  2. Step 2: Convert to fraction form
    409,541.72/614,396.10 = 232,127.96/x
  3. Step 3: Cross multiply
    409,541.72x = 614,396.10 × 232,127.96
  4. Step 4: Simplify right side
    409,541.72x = 142,618,513,324.96
  5. Step 5: Solve for x
    x = 142,618,513,324.96/409,541.72
  6. Step 6: Final answer
    x = 348,239.28

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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.