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Finding the Fourth Proportional to 458,710.24, 688,107.48 and 178,249.36

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Solution

The fourth proportional to 458,710.24, 688,107.48 and 178,249.36 is: 267,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,710.24 : 688,107.48 = 178,249.36 : x
  2. Step 2: Convert to fraction form
    458,710.24/688,107.48 = 178,249.36/x
  3. Step 3: Cross multiply
    458,710.24x = 688,107.48 × 178,249.36
  4. Step 4: Simplify right side
    458,710.24x = 122,654,717,921.21
  5. Step 5: Solve for x
    x = 122,654,717,921.21/458,710.24
  6. Step 6: Final answer
    x = 267,390.41

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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.