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Finding the Fourth Proportional to 418,049.52, 576,909.99 and 227,066.10

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Solution

The fourth proportional to 418,049.52, 576,909.99 and 227,066.10 is: 313,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,049.52 : 576,909.99 = 227,066.10 : x
  2. Step 2: Convert to fraction form
    418,049.52/576,909.99 = 227,066.10/x
  3. Step 3: Cross multiply
    418,049.52x = 576,909.99 × 227,066.10
  4. Step 4: Simplify right side
    418,049.52x = 130,996,701,480.34
  5. Step 5: Solve for x
    x = 130,996,701,480.34/418,049.52
  6. Step 6: Final answer
    x = 313,352.12

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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.