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Finding the Fourth Proportional to 440,083.28, 659,720.76 and 159,532.88

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Solution

The fourth proportional to 440,083.28, 659,720.76 and 159,532.88 is: 239,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,083.28 : 659,720.76 = 159,532.88 : x
  2. Step 2: Convert to fraction form
    440,083.28/659,720.76 = 159,532.88/x
  3. Step 3: Cross multiply
    440,083.28x = 659,720.76 × 159,532.88
  4. Step 4: Simplify right side
    440,083.28x = 105,247,152,838.59
  5. Step 5: Solve for x
    x = 105,247,152,838.59/440,083.28
  6. Step 6: Final answer
    x = 239,152.81

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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.