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Finding the Fourth Proportional to 415,942.52, 574,000.70 and 224,955.86

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Solution

The fourth proportional to 415,942.52, 574,000.70 and 224,955.86 is: 310,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,942.52 : 574,000.70 = 224,955.86 : x
  2. Step 2: Convert to fraction form
    415,942.52/574,000.70 = 224,955.86/x
  3. Step 3: Cross multiply
    415,942.52x = 574,000.70 × 224,955.86
  4. Step 4: Simplify right side
    415,942.52x = 129,124,817,114.32
  5. Step 5: Solve for x
    x = 129,124,817,114.32/415,942.52
  6. Step 6: Final answer
    x = 310,439.09

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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.