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Finding the Fourth Proportional to 420,073.46, 579,683.89 and 229,083.38

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Solution

The fourth proportional to 420,073.46, 579,683.89 and 229,083.38 is: 316,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,073.46 : 579,683.89 = 229,083.38 : x
  2. Step 2: Convert to fraction form
    420,073.46/579,683.89 = 229,083.38/x
  3. Step 3: Cross multiply
    420,073.46x = 579,683.89 × 229,083.38
  4. Step 4: Simplify right side
    420,073.46x = 132,795,944,852.75
  5. Step 5: Solve for x
    x = 132,795,944,852.75/420,073.46
  6. Step 6: Final answer
    x = 316,125.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.