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Finding the Fourth Proportional to 418,575.48, 577,631.14 and 227,589

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Solution

The fourth proportional to 418,575.48, 577,631.14 and 227,589 is: 314,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,575.48 : 577,631.14 = 227,589 : x
  2. Step 2: Convert to fraction form
    418,575.48/577,631.14 = 227,589/x
  3. Step 3: Cross multiply
    418,575.48x = 577,631.14 × 227,589
  4. Step 4: Simplify right side
    418,575.48x = 131,462,493,521.46
  5. Step 5: Solve for x
    x = 131,462,493,521.46/418,575.48
  6. Step 6: Final answer
    x = 314,071.18

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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.