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Finding the Fourth Proportional to 384,132.30, 576,198.45 and 304,817.10

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Solution

The fourth proportional to 384,132.30, 576,198.45 and 304,817.10 is: 457,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,132.30 : 576,198.45 = 304,817.10 : x
  2. Step 2: Convert to fraction form
    384,132.30/576,198.45 = 304,817.10/x
  3. Step 3: Cross multiply
    384,132.30x = 576,198.45 × 304,817.10
  4. Step 4: Simplify right side
    384,132.30x = 175,635,140,553.50
  5. Step 5: Solve for x
    x = 175,635,140,553.50/384,132.30
  6. Step 6: Final answer
    x = 457,225.65

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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.