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Finding the Fourth Proportional to 257,327.80, 386,337.30 and 164,246.20

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Solution

The fourth proportional to 257,327.80, 386,337.30 and 164,246.20 is: 246,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,327.80 : 386,337.30 = 164,246.20 : x
  2. Step 2: Convert to fraction form
    257,327.80/386,337.30 = 164,246.20/x
  3. Step 3: Cross multiply
    257,327.80x = 386,337.30 × 164,246.20
  4. Step 4: Simplify right side
    257,327.80x = 63,454,433,443.26
  5. Step 5: Solve for x
    x = 63,454,433,443.26/257,327.80
  6. Step 6: Final answer
    x = 246,589.89

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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.