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Finding the Fourth Proportional to 420,198.76, 579,872.20 and 229,210.48

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Solution

The fourth proportional to 420,198.76, 579,872.20 and 229,210.48 is: 316,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,198.76 : 579,872.20 = 229,210.48 : x
  2. Step 2: Convert to fraction form
    420,198.76/579,872.20 = 229,210.48/x
  3. Step 3: Cross multiply
    420,198.76x = 579,872.20 × 229,210.48
  4. Step 4: Simplify right side
    420,198.76x = 132,912,785,300.66
  5. Step 5: Solve for x
    x = 132,912,785,300.66/420,198.76
  6. Step 6: Final answer
    x = 316,309.32

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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.