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Finding the Fourth Proportional to 418,575.92, 577,618.86 and 227,589.48

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Solution

The fourth proportional to 418,575.92, 577,618.86 and 227,589.48 is: 314,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,575.92 : 577,618.86 = 227,589.48 : x
  2. Step 2: Convert to fraction form
    418,575.92/577,618.86 = 227,589.48/x
  3. Step 3: Cross multiply
    418,575.92x = 577,618.86 × 227,589.48
  4. Step 4: Simplify right side
    418,575.92x = 131,459,975,985.59
  5. Step 5: Solve for x
    x = 131,459,975,985.59/418,575.92
  6. Step 6: Final answer
    x = 314,064.83

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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.