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Finding the Fourth Proportional to 269,773.38, 403,661.34 and 216,301.84

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Solution

The fourth proportional to 269,773.38, 403,661.34 and 216,301.84 is: 323,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,773.38 : 403,661.34 = 216,301.84 : x
  2. Step 2: Convert to fraction form
    269,773.38/403,661.34 = 216,301.84/x
  3. Step 3: Cross multiply
    269,773.38x = 403,661.34 × 216,301.84
  4. Step 4: Simplify right side
    269,773.38x = 87,312,689,569.71
  5. Step 5: Solve for x
    x = 87,312,689,569.71/269,773.38
  6. Step 6: Final answer
    x = 323,651.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.