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Finding the Fourth Proportional to 542,993.38, 749,439.92 and 313,588.01

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Solution

The fourth proportional to 542,993.38, 749,439.92 and 313,588.01 is: 432,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,993.38 : 749,439.92 = 313,588.01 : x
  2. Step 2: Convert to fraction form
    542,993.38/749,439.92 = 313,588.01/x
  3. Step 3: Cross multiply
    542,993.38x = 749,439.92 × 313,588.01
  4. Step 4: Simplify right side
    542,993.38x = 235,015,375,784.93
  5. Step 5: Solve for x
    x = 235,015,375,784.93/542,993.38
  6. Step 6: Final answer
    x = 432,814.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.