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Finding the Fourth Proportional to 313,013.74, 469,520.60 and 76,354.82

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Solution

The fourth proportional to 313,013.74, 469,520.60 and 76,354.82 is: 114,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,013.74 : 469,520.60 = 76,354.82 : x
  2. Step 2: Convert to fraction form
    313,013.74/469,520.60 = 76,354.82/x
  3. Step 3: Cross multiply
    313,013.74x = 469,520.60 × 76,354.82
  4. Step 4: Simplify right side
    313,013.74x = 35,850,160,899.29
  5. Step 5: Solve for x
    x = 35,850,160,899.29/313,013.74
  6. Step 6: Final answer
    x = 114,532.23

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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.