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Finding the Fourth Proportional to 415,947.82, 574,008.33 and 224,960.98

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Solution

The fourth proportional to 415,947.82, 574,008.33 and 224,960.98 is: 310,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,947.82 : 574,008.33 = 224,960.98 : x
  2. Step 2: Convert to fraction form
    415,947.82/574,008.33 = 224,960.98/x
  3. Step 3: Cross multiply
    415,947.82x = 574,008.33 × 224,960.98
  4. Step 4: Simplify right side
    415,947.82x = 129,129,476,444.96
  5. Step 5: Solve for x
    x = 129,129,476,444.96/415,947.82
  6. Step 6: Final answer
    x = 310,446.34

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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.