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Finding the Fourth Proportional to 511,677.60, 767,447.28 and 137,723.04

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Solution

The fourth proportional to 511,677.60, 767,447.28 and 137,723.04 is: 206,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,677.60 : 767,447.28 = 137,723.04 : x
  2. Step 2: Convert to fraction form
    511,677.60/767,447.28 = 137,723.04/x
  3. Step 3: Cross multiply
    511,677.60x = 767,447.28 × 137,723.04
  4. Step 4: Simplify right side
    511,677.60x = 105,695,172,441.33
  5. Step 5: Solve for x
    x = 105,695,172,441.33/511,677.60
  6. Step 6: Final answer
    x = 206,565.96

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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.