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Finding the Fourth Proportional to 542,346.42, 813,524.49 and 143,043.96

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Solution

The fourth proportional to 542,346.42, 813,524.49 and 143,043.96 is: 214,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,346.42 : 813,524.49 = 143,043.96 : x
  2. Step 2: Convert to fraction form
    542,346.42/813,524.49 = 143,043.96/x
  3. Step 3: Cross multiply
    542,346.42x = 813,524.49 × 143,043.96
  4. Step 4: Simplify right side
    542,346.42x = 116,369,764,606.58
  5. Step 5: Solve for x
    x = 116,369,764,606.58/542,346.42
  6. Step 6: Final answer
    x = 214,567.22

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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.