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Finding the Fourth Proportional to 437,728.60, 656,082.60 and 201,095.20

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Solution

The fourth proportional to 437,728.60, 656,082.60 and 201,095.20 is: 301,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,728.60 : 656,082.60 = 201,095.20 : x
  2. Step 2: Convert to fraction form
    437,728.60/656,082.60 = 201,095.20/x
  3. Step 3: Cross multiply
    437,728.60x = 656,082.60 × 201,095.20
  4. Step 4: Simplify right side
    437,728.60x = 131,935,061,663.52
  5. Step 5: Solve for x
    x = 131,935,061,663.52/437,728.60
  6. Step 6: Final answer
    x = 301,408.37

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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.