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Finding the Fourth Proportional to 414,693.08, 571,753.32 and 271,225.88

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Solution

The fourth proportional to 414,693.08, 571,753.32 and 271,225.88 is: 373,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,693.08 : 571,753.32 = 271,225.88 : x
  2. Step 2: Convert to fraction form
    414,693.08/571,753.32 = 271,225.88/x
  3. Step 3: Cross multiply
    414,693.08x = 571,753.32 × 271,225.88
  4. Step 4: Simplify right side
    414,693.08x = 155,074,297,359.92
  5. Step 5: Solve for x
    x = 155,074,297,359.92/414,693.08
  6. Step 6: Final answer
    x = 373,949.57

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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.