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Finding the Fourth Proportional to 313,164.50, 469,745.48 and 113,438.14

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Solution

The fourth proportional to 313,164.50, 469,745.48 and 113,438.14 is: 170,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,164.50 : 469,745.48 = 113,438.14 : x
  2. Step 2: Convert to fraction form
    313,164.50/469,745.48 = 113,438.14/x
  3. Step 3: Cross multiply
    313,164.50x = 469,745.48 × 113,438.14
  4. Step 4: Simplify right side
    313,164.50x = 53,287,053,524.61
  5. Step 5: Solve for x
    x = 53,287,053,524.61/313,164.50
  6. Step 6: Final answer
    x = 170,156.75

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1.5x scale

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.