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Finding the Fourth Proportional to 415,900.88, 573,938.81 and 234,671.78

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Solution

The fourth proportional to 415,900.88, 573,938.81 and 234,671.78 is: 323,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,900.88 : 573,938.81 = 234,671.78 : x
  2. Step 2: Convert to fraction form
    415,900.88/573,938.81 = 234,671.78/x
  3. Step 3: Cross multiply
    415,900.88x = 573,938.81 × 234,671.78
  4. Step 4: Simplify right side
    415,900.88x = 134,687,244,615.32
  5. Step 5: Solve for x
    x = 134,687,244,615.32/415,900.88
  6. Step 6: Final answer
    x = 323,844.58

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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.