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Finding the Fourth Proportional to 290,508.59, 435,788.00 and 80,146.53

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Solution

The fourth proportional to 290,508.59, 435,788.00 and 80,146.53 is: 120,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,508.59 : 435,788.00 = 80,146.53 : x
  2. Step 2: Convert to fraction form
    290,508.59/435,788.00 = 80,146.53/x
  3. Step 3: Cross multiply
    290,508.59x = 435,788.00 × 80,146.53
  4. Step 4: Simplify right side
    290,508.59x = 34,926,895,614.91
  5. Step 5: Solve for x
    x = 34,926,895,614.91/290,508.59
  6. Step 6: Final answer
    x = 120,226.72

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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.