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Finding the Fourth Proportional to 440,764.13, 660,758.51 and 174,711.40

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Solution

The fourth proportional to 440,764.13, 660,758.51 and 174,711.40 is: 261,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,764.13 : 660,758.51 = 174,711.40 : x
  2. Step 2: Convert to fraction form
    440,764.13/660,758.51 = 174,711.40/x
  3. Step 3: Cross multiply
    440,764.13x = 660,758.51 × 174,711.40
  4. Step 4: Simplify right side
    440,764.13x = 115,442,043,128.90
  5. Step 5: Solve for x
    x = 115,442,043,128.90/440,764.13
  6. Step 6: Final answer
    x = 261,913.42

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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.