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Finding the Fourth Proportional to 420,227.81, 579,913.17 and 229,239.84

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Solution

The fourth proportional to 420,227.81, 579,913.17 and 229,239.84 is: 316,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,227.81 : 579,913.17 = 229,239.84 : x
  2. Step 2: Convert to fraction form
    420,227.81/579,913.17 = 229,239.84/x
  3. Step 3: Cross multiply
    420,227.81x = 579,913.17 × 229,239.84
  4. Step 4: Simplify right side
    420,227.81x = 132,939,202,304.69
  5. Step 5: Solve for x
    x = 132,939,202,304.69/420,227.81
  6. Step 6: Final answer
    x = 316,350.32

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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.