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Finding the Fourth Proportional to 381,023.10, 532,732.50 and 381,023.10

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Solution

The fourth proportional to 381,023.10, 532,732.50 and 381,023.10 is: 532,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,023.10 : 532,732.50 = 381,023.10 : x
  2. Step 2: Convert to fraction form
    381,023.10/532,732.50 = 381,023.10/x
  3. Step 3: Cross multiply
    381,023.10x = 532,732.50 × 381,023.10
  4. Step 4: Simplify right side
    381,023.10x = 202,983,388,620.75
  5. Step 5: Solve for x
    x = 202,983,388,620.75/381,023.10
  6. Step 6: Final answer
    x = 532,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.