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Finding the Fourth Proportional to 406,134, 560,464.92 and 227,286

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Solution

The fourth proportional to 406,134, 560,464.92 and 227,286 is: 313,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,134 : 560,464.92 = 227,286 : x
  2. Step 2: Convert to fraction form
    406,134/560,464.92 = 227,286/x
  3. Step 3: Cross multiply
    406,134x = 560,464.92 × 227,286
  4. Step 4: Simplify right side
    406,134x = 127,385,829,807.12
  5. Step 5: Solve for x
    x = 127,385,829,807.12/406,134
  6. Step 6: Final answer
    x = 313,654.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.