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Finding the Fourth Proportional to 784,616.76, 1,082,761.02 and 462,340.44

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Solution

The fourth proportional to 784,616.76, 1,082,761.02 and 462,340.44 is: 638,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,616.76 : 1,082,761.02 = 462,340.44 : x
  2. Step 2: Convert to fraction form
    784,616.76/1,082,761.02 = 462,340.44/x
  3. Step 3: Cross multiply
    784,616.76x = 1,082,761.02 × 462,340.44
  4. Step 4: Simplify right side
    784,616.76x = 500,604,206,401.65
  5. Step 5: Solve for x
    x = 500,604,206,401.65/784,616.76
  6. Step 6: Final answer
    x = 638,023.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.