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Finding the Fourth Proportional to 437,900.80, 656,851.20 and 201,704.80

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Solution

The fourth proportional to 437,900.80, 656,851.20 and 201,704.80 is: 302,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,900.80 : 656,851.20 = 201,704.80 : x
  2. Step 2: Convert to fraction form
    437,900.80/656,851.20 = 201,704.80/x
  3. Step 3: Cross multiply
    437,900.80x = 656,851.20 × 201,704.80
  4. Step 4: Simplify right side
    437,900.80x = 132,490,039,925.76
  5. Step 5: Solve for x
    x = 132,490,039,925.76/437,900.80
  6. Step 6: Final answer
    x = 302,557.20

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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.