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Finding the Fourth Proportional to 418,414.08, 577,409.25 and 227,428.50

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Solution

The fourth proportional to 418,414.08, 577,409.25 and 227,428.50 is: 313,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,414.08 : 577,409.25 = 227,428.50 : x
  2. Step 2: Convert to fraction form
    418,414.08/577,409.25 = 227,428.50/x
  3. Step 3: Cross multiply
    418,414.08x = 577,409.25 × 227,428.50
  4. Step 4: Simplify right side
    418,414.08x = 131,319,319,613.63
  5. Step 5: Solve for x
    x = 131,319,319,613.63/418,414.08
  6. Step 6: Final answer
    x = 313,850.14

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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.