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Finding the Fourth Proportional to 418,497.12, 577,530.14 and 227,514.60

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Solution

The fourth proportional to 418,497.12, 577,530.14 and 227,514.60 is: 313,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,497.12 : 577,530.14 = 227,514.60 : x
  2. Step 2: Convert to fraction form
    418,497.12/577,530.14 = 227,514.60/x
  3. Step 3: Cross multiply
    418,497.12x = 577,530.14 × 227,514.60
  4. Step 4: Simplify right side
    418,497.12x = 131,396,537,652.47
  5. Step 5: Solve for x
    x = 131,396,537,652.47/418,497.12
  6. Step 6: Final answer
    x = 313,972.38

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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.