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Finding the Fourth Proportional to 420,201.76, 579,882.62 and 229,219.15

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Solution

The fourth proportional to 420,201.76, 579,882.62 and 229,219.15 is: 316,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,201.76 : 579,882.62 = 229,219.15 : x
  2. Step 2: Convert to fraction form
    420,201.76/579,882.62 = 229,219.15/x
  3. Step 3: Cross multiply
    420,201.76x = 579,882.62 × 229,219.15
  4. Step 4: Simplify right side
    420,201.76x = 132,920,201,256.17
  5. Step 5: Solve for x
    x = 132,920,201,256.17/420,201.76
  6. Step 6: Final answer
    x = 316,324.71

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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.