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Finding the Fourth Proportional to 415,760.54, 573,749.60 and 224,773.88

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Solution

The fourth proportional to 415,760.54, 573,749.60 and 224,773.88 is: 310,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,760.54 : 573,749.60 = 224,773.88 : x
  2. Step 2: Convert to fraction form
    415,760.54/573,749.60 = 224,773.88/x
  3. Step 3: Cross multiply
    415,760.54x = 573,749.60 × 224,773.88
  4. Step 4: Simplify right side
    415,760.54x = 128,963,923,740.45
  5. Step 5: Solve for x
    x = 128,963,923,740.45/415,760.54
  6. Step 6: Final answer
    x = 310,187.98

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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.