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Finding the Fourth Proportional to 420,138.47, 579,798 and 229,151.86

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Solution

The fourth proportional to 420,138.47, 579,798 and 229,151.86 is: 316,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,138.47 : 579,798 = 229,151.86 : x
  2. Step 2: Convert to fraction form
    420,138.47/579,798 = 229,151.86/x
  3. Step 3: Cross multiply
    420,138.47x = 579,798 × 229,151.86
  4. Step 4: Simplify right side
    420,138.47x = 132,861,790,305.47
  5. Step 5: Solve for x
    x = 132,861,790,305.47/420,138.47
  6. Step 6: Final answer
    x = 316,233.34

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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.