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Finding the Fourth Proportional to 438,023.40, 656,843.10 and 201,287.40

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Solution

The fourth proportional to 438,023.40, 656,843.10 and 201,287.40 is: 301,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,023.40 : 656,843.10 = 201,287.40 : x
  2. Step 2: Convert to fraction form
    438,023.40/656,843.10 = 201,287.40/x
  3. Step 3: Cross multiply
    438,023.40x = 656,843.10 × 201,287.40
  4. Step 4: Simplify right side
    438,023.40x = 132,214,239,806.94
  5. Step 5: Solve for x
    x = 132,214,239,806.94/438,023.40
  6. Step 6: Final answer
    x = 301,842.87

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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.