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Finding the Fourth Proportional to 437,865.60, 656,288.10 and 201,232.20

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Solution

The fourth proportional to 437,865.60, 656,288.10 and 201,232.20 is: 301,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,865.60 : 656,288.10 = 201,232.20 : x
  2. Step 2: Convert to fraction form
    437,865.60/656,288.10 = 201,232.20/x
  3. Step 3: Cross multiply
    437,865.60x = 656,288.10 × 201,232.20
  4. Step 4: Simplify right side
    437,865.60x = 132,066,298,196.82
  5. Step 5: Solve for x
    x = 132,066,298,196.82/437,865.60
  6. Step 6: Final answer
    x = 301,613.78

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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.