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Finding the Fourth Proportional to 461,463.97, 692,244.25 and 124,507.41

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Solution

The fourth proportional to 461,463.97, 692,244.25 and 124,507.41 is: 186,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,463.97 : 692,244.25 = 124,507.41 : x
  2. Step 2: Convert to fraction form
    461,463.97/692,244.25 = 124,507.41/x
  3. Step 3: Cross multiply
    461,463.97x = 692,244.25 × 124,507.41
  4. Step 4: Simplify right side
    461,463.97x = 86,189,538,654.89
  5. Step 5: Solve for x
    x = 86,189,538,654.89/461,463.97
  6. Step 6: Final answer
    x = 186,774.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.