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Finding the Fourth Proportional to 542,534.40, 813,792.96 and 168,557.76

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Solution

The fourth proportional to 542,534.40, 813,792.96 and 168,557.76 is: 252,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,534.40 : 813,792.96 = 168,557.76 : x
  2. Step 2: Convert to fraction form
    542,534.40/813,792.96 = 168,557.76/x
  3. Step 3: Cross multiply
    542,534.40x = 813,792.96 × 168,557.76
  4. Step 4: Simplify right side
    542,534.40x = 137,171,118,441.37
  5. Step 5: Solve for x
    x = 137,171,118,441.37/542,534.40
  6. Step 6: Final answer
    x = 252,833.96

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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.