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Finding the Fourth Proportional to 766,179, 1,057,327.02 and 426,712.86

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Solution

The fourth proportional to 766,179, 1,057,327.02 and 426,712.86 is: 588,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,179 : 1,057,327.02 = 426,712.86 : x
  2. Step 2: Convert to fraction form
    766,179/1,057,327.02 = 426,712.86/x
  3. Step 3: Cross multiply
    766,179x = 1,057,327.02 × 426,712.86
  4. Step 4: Simplify right side
    766,179x = 451,175,036,659.48
  5. Step 5: Solve for x
    x = 451,175,036,659.48/766,179
  6. Step 6: Final answer
    x = 588,863.75

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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.