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Finding the Fourth Proportional to 313,237.26, 469,855.89 and 76,577.13

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Solution

The fourth proportional to 313,237.26, 469,855.89 and 76,577.13 is: 114,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,237.26 : 469,855.89 = 76,577.13 : x
  2. Step 2: Convert to fraction form
    313,237.26/469,855.89 = 76,577.13/x
  3. Step 3: Cross multiply
    313,237.26x = 469,855.89 × 76,577.13
  4. Step 4: Simplify right side
    313,237.26x = 35,980,215,569.80
  5. Step 5: Solve for x
    x = 35,980,215,569.80/313,237.26
  6. Step 6: Final answer
    x = 114,865.70

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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.