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Finding the Fourth Proportional to 542,057.67, 813,126.60 and 162,948.51

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Solution

The fourth proportional to 542,057.67, 813,126.60 and 162,948.51 is: 244,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,057.67 : 813,126.60 = 162,948.51 : x
  2. Step 2: Convert to fraction form
    542,057.67/813,126.60 = 162,948.51/x
  3. Step 3: Cross multiply
    542,057.67x = 813,126.60 × 162,948.51
  4. Step 4: Simplify right side
    542,057.67x = 132,497,767,911.37
  5. Step 5: Solve for x
    x = 132,497,767,911.37/542,057.67
  6. Step 6: Final answer
    x = 244,434.82

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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.