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Finding the Fourth Proportional to 542,328.59, 813,237.91 and 200,535.86

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Solution

The fourth proportional to 542,328.59, 813,237.91 and 200,535.86 is: 300,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,328.59 : 813,237.91 = 200,535.86 : x
  2. Step 2: Convert to fraction form
    542,328.59/813,237.91 = 200,535.86/x
  3. Step 3: Cross multiply
    542,328.59x = 813,237.91 × 200,535.86
  4. Step 4: Simplify right side
    542,328.59x = 163,083,365,198.21
  5. Step 5: Solve for x
    x = 163,083,365,198.21/542,328.59
  6. Step 6: Final answer
    x = 300,709.51

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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.