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Finding the Fourth Proportional to 313,449.95, 469,965.95 and 113,744.35

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Solution

The fourth proportional to 313,449.95, 469,965.95 and 113,744.35 is: 170,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,449.95 : 469,965.95 = 113,744.35 : x
  2. Step 2: Convert to fraction form
    313,449.95/469,965.95 = 113,744.35/x
  3. Step 3: Cross multiply
    313,449.95x = 469,965.95 × 113,744.35
  4. Step 4: Simplify right side
    313,449.95x = 53,455,971,950.16
  5. Step 5: Solve for x
    x = 53,455,971,950.16/313,449.95
  6. Step 6: Final answer
    x = 170,540.69

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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.