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Finding the Fourth Proportional to 313,241.32, 469,857.78 and 76,586.04

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Solution

The fourth proportional to 313,241.32, 469,857.78 and 76,586.04 is: 114,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,241.32 : 469,857.78 = 76,586.04 : x
  2. Step 2: Convert to fraction form
    313,241.32/469,857.78 = 76,586.04/x
  3. Step 3: Cross multiply
    313,241.32x = 469,857.78 × 76,586.04
  4. Step 4: Simplify right side
    313,241.32x = 35,984,546,733.39
  5. Step 5: Solve for x
    x = 35,984,546,733.39/313,241.32
  6. Step 6: Final answer
    x = 114,878.03

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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.