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Finding the Fourth Proportional to 313,288.65, 469,957.68 and 88,645.50

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Solution

The fourth proportional to 313,288.65, 469,957.68 and 88,645.50 is: 132,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,288.65 : 469,957.68 = 88,645.50 : x
  2. Step 2: Convert to fraction form
    313,288.65/469,957.68 = 88,645.50/x
  3. Step 3: Cross multiply
    313,288.65x = 469,957.68 × 88,645.50
  4. Step 4: Simplify right side
    313,288.65x = 41,659,633,522.44
  5. Step 5: Solve for x
    x = 41,659,633,522.44/313,288.65
  6. Step 6: Final answer
    x = 132,975.24

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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.