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Finding the Fourth Proportional to 313,680.79, 470,520.24 and 89,041.41

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Solution

The fourth proportional to 313,680.79, 470,520.24 and 89,041.41 is: 133,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,680.79 : 470,520.24 = 89,041.41 : x
  2. Step 2: Convert to fraction form
    313,680.79/470,520.24 = 89,041.41/x
  3. Step 3: Cross multiply
    313,680.79x = 470,520.24 × 89,041.41
  4. Step 4: Simplify right side
    313,680.79x = 41,895,786,293.04
  5. Step 5: Solve for x
    x = 41,895,786,293.04/313,680.79
  6. Step 6: Final answer
    x = 133,561.85

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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.