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Finding the Fourth Proportional to 313,173.52, 469,758.98 and 113,447.14

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Solution

The fourth proportional to 313,173.52, 469,758.98 and 113,447.14 is: 170,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,173.52 : 469,758.98 = 113,447.14 : x
  2. Step 2: Convert to fraction form
    313,173.52/469,758.98 = 113,447.14/x
  3. Step 3: Cross multiply
    313,173.52x = 469,758.98 × 113,447.14
  4. Step 4: Simplify right side
    313,173.52x = 53,292,812,770.32
  5. Step 5: Solve for x
    x = 53,292,812,770.32/313,173.52
  6. Step 6: Final answer
    x = 170,170.24

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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.