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Finding the Fourth Proportional to 542,806.78, 813,991.38 and 163,610.14

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Solution

The fourth proportional to 542,806.78, 813,991.38 and 163,610.14 is: 245,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,806.78 : 813,991.38 = 163,610.14 : x
  2. Step 2: Convert to fraction form
    542,806.78/813,991.38 = 163,610.14/x
  3. Step 3: Cross multiply
    542,806.78x = 813,991.38 × 163,610.14
  4. Step 4: Simplify right side
    542,806.78x = 133,177,243,640.59
  5. Step 5: Solve for x
    x = 133,177,243,640.59/542,806.78
  6. Step 6: Final answer
    x = 245,349.26

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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.