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Finding the Fourth Proportional to 437,842.87, 656,764.30 and 201,384.43

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Solution

The fourth proportional to 437,842.87, 656,764.30 and 201,384.43 is: 302,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,842.87 : 656,764.30 = 201,384.43 : x
  2. Step 2: Convert to fraction form
    437,842.87/656,764.30 = 201,384.43/x
  3. Step 3: Cross multiply
    437,842.87x = 656,764.30 × 201,384.43
  4. Step 4: Simplify right side
    437,842.87x = 132,262,104,199.85
  5. Step 5: Solve for x
    x = 132,262,104,199.85/437,842.87
  6. Step 6: Final answer
    x = 302,076.64

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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.