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Finding the Fourth Proportional to 313,170.69, 469,751.94 and 76,515.42

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Solution

The fourth proportional to 313,170.69, 469,751.94 and 76,515.42 is: 114,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,170.69 : 469,751.94 = 76,515.42 : x
  2. Step 2: Convert to fraction form
    313,170.69/469,751.94 = 76,515.42/x
  3. Step 3: Cross multiply
    313,170.69x = 469,751.94 × 76,515.42
  4. Step 4: Simplify right side
    313,170.69x = 35,943,268,746.48
  5. Step 5: Solve for x
    x = 35,943,268,746.48/313,170.69
  6. Step 6: Final answer
    x = 114,772.13

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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.