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Finding the Fourth Proportional to 314,229.60, 433,640.88 and 170,993.52

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Solution

The fourth proportional to 314,229.60, 433,640.88 and 170,993.52 is: 235,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,229.60 : 433,640.88 = 170,993.52 : x
  2. Step 2: Convert to fraction form
    314,229.60/433,640.88 = 170,993.52/x
  3. Step 3: Cross multiply
    314,229.60x = 433,640.88 × 170,993.52
  4. Step 4: Simplify right side
    314,229.60x = 74,149,780,487.10
  5. Step 5: Solve for x
    x = 74,149,780,487.10/314,229.60
  6. Step 6: Final answer
    x = 235,973.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.