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Finding the Fourth Proportional to 315,735.80, 473,387.49 and 113,327.42

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Solution

The fourth proportional to 315,735.80, 473,387.49 and 113,327.42 is: 169,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,735.80 : 473,387.49 = 113,327.42 : x
  2. Step 2: Convert to fraction form
    315,735.80/473,387.49 = 113,327.42/x
  3. Step 3: Cross multiply
    315,735.80x = 473,387.49 × 113,327.42
  4. Step 4: Simplify right side
    315,735.80x = 53,647,780,535.04
  5. Step 5: Solve for x
    x = 53,647,780,535.04/315,735.80
  6. Step 6: Final answer
    x = 169,913.52

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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.