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Finding the Fourth Proportional to 374,227, 516,444.18 and 204,472.06

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Solution

The fourth proportional to 374,227, 516,444.18 and 204,472.06 is: 282,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,227 : 516,444.18 = 204,472.06 : x
  2. Step 2: Convert to fraction form
    374,227/516,444.18 = 204,472.06/x
  3. Step 3: Cross multiply
    374,227x = 516,444.18 × 204,472.06
  4. Step 4: Simplify right side
    374,227x = 105,598,405,359.61
  5. Step 5: Solve for x
    x = 105,598,405,359.61/374,227
  6. Step 6: Final answer
    x = 282,177.41

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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.