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Finding the Fourth Proportional to 313,245.74, 469,763.30 and 113,524.32

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Solution

The fourth proportional to 313,245.74, 469,763.30 and 113,524.32 is: 170,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,245.74 : 469,763.30 = 113,524.32 : x
  2. Step 2: Convert to fraction form
    313,245.74/469,763.30 = 113,524.32/x
  3. Step 3: Cross multiply
    313,245.74x = 469,763.30 × 113,524.32
  4. Step 4: Simplify right side
    313,245.74x = 53,329,559,193.46
  5. Step 5: Solve for x
    x = 53,329,559,193.46/313,245.74
  6. Step 6: Final answer
    x = 170,248.31

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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.