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Finding the Fourth Proportional to 409,360.50, 564,895.62 and 225,593.10

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Solution

The fourth proportional to 409,360.50, 564,895.62 and 225,593.10 is: 311,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,360.50 : 564,895.62 = 225,593.10 : x
  2. Step 2: Convert to fraction form
    409,360.50/564,895.62 = 225,593.10/x
  3. Step 3: Cross multiply
    409,360.50x = 564,895.62 × 225,593.10
  4. Step 4: Simplify right side
    409,360.50x = 127,436,554,092.22
  5. Step 5: Solve for x
    x = 127,436,554,092.22/409,360.50
  6. Step 6: Final answer
    x = 311,306.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.