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Finding the Fourth Proportional to 409,060.72, 564,529.43 and 225,299.25

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Solution

The fourth proportional to 409,060.72, 564,529.43 and 225,299.25 is: 310,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,060.72 : 564,529.43 = 225,299.25 : x
  2. Step 2: Convert to fraction form
    409,060.72/564,529.43 = 225,299.25/x
  3. Step 3: Cross multiply
    409,060.72x = 564,529.43 × 225,299.25
  4. Step 4: Simplify right side
    409,060.72x = 127,188,057,463.55
  5. Step 5: Solve for x
    x = 127,188,057,463.55/409,060.72
  6. Step 6: Final answer
    x = 310,927.08

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