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Finding the Fourth Proportional to 418,317.52, 577,281.84 and 227,330.90

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Solution

The fourth proportional to 418,317.52, 577,281.84 and 227,330.90 is: 313,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,317.52 : 577,281.84 = 227,330.90 : x
  2. Step 2: Convert to fraction form
    418,317.52/577,281.84 = 227,330.90/x
  3. Step 3: Cross multiply
    418,317.52x = 577,281.84 × 227,330.90
  4. Step 4: Simplify right side
    418,317.52x = 131,234,000,240.86
  5. Step 5: Solve for x
    x = 131,234,000,240.86/418,317.52
  6. Step 6: Final answer
    x = 313,718.63

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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.