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Finding the Fourth Proportional to 532,473.32, 796,839.74 and 458,487.11

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Solution

The fourth proportional to 532,473.32, 796,839.74 and 458,487.11 is: 686,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,473.32 : 796,839.74 = 458,487.11 : x
  2. Step 2: Convert to fraction form
    532,473.32/796,839.74 = 458,487.11/x
  3. Step 3: Cross multiply
    532,473.32x = 796,839.74 × 458,487.11
  4. Step 4: Simplify right side
    532,473.32x = 365,340,743,249.12
  5. Step 5: Solve for x
    x = 365,340,743,249.12/532,473.32
  6. Step 6: Final answer
    x = 686,120.29

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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.