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Finding the Fourth Proportional to 541,965.50, 812,691.74 and 200,296.87

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Solution

The fourth proportional to 541,965.50, 812,691.74 and 200,296.87 is: 300,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,965.50 : 812,691.74 = 200,296.87 : x
  2. Step 2: Convert to fraction form
    541,965.50/812,691.74 = 200,296.87/x
  3. Step 3: Cross multiply
    541,965.50x = 812,691.74 × 200,296.87
  4. Step 4: Simplify right side
    541,965.50x = 162,779,608,763.64
  5. Step 5: Solve for x
    x = 162,779,608,763.64/541,965.50
  6. Step 6: Final answer
    x = 300,350.50

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1.5x scale

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.