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Finding the Fourth Proportional to 394,493.32, 591,681.66 and 145,117

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Solution

The fourth proportional to 394,493.32, 591,681.66 and 145,117 is: 217,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,493.32 : 591,681.66 = 145,117 : x
  2. Step 2: Convert to fraction form
    394,493.32/591,681.66 = 145,117/x
  3. Step 3: Cross multiply
    394,493.32x = 591,681.66 × 145,117
  4. Step 4: Simplify right side
    394,493.32x = 85,863,067,454.22
  5. Step 5: Solve for x
    x = 85,863,067,454.22/394,493.32
  6. Step 6: Final answer
    x = 217,654.05

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