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Finding the Fourth Proportional to 418,585.32, 627,863.85 and 181,928.01

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Solution

The fourth proportional to 418,585.32, 627,863.85 and 181,928.01 is: 272,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,585.32 : 627,863.85 = 181,928.01 : x
  2. Step 2: Convert to fraction form
    418,585.32/627,863.85 = 181,928.01/x
  3. Step 3: Cross multiply
    418,585.32x = 627,863.85 × 181,928.01
  4. Step 4: Simplify right side
    418,585.32x = 114,226,020,781.44
  5. Step 5: Solve for x
    x = 114,226,020,781.44/418,585.32
  6. Step 6: Final answer
    x = 272,885.87

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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.