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Finding the Fourth Proportional to 230,788.20, 345,414.30 and 167,428.20

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Solution

The fourth proportional to 230,788.20, 345,414.30 and 167,428.20 is: 250,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,788.20 : 345,414.30 = 167,428.20 : x
  2. Step 2: Convert to fraction form
    230,788.20/345,414.30 = 167,428.20/x
  3. Step 3: Cross multiply
    230,788.20x = 345,414.30 × 167,428.20
  4. Step 4: Simplify right side
    230,788.20x = 57,832,094,503.26
  5. Step 5: Solve for x
    x = 57,832,094,503.26/230,788.20
  6. Step 6: Final answer
    x = 250,585.14

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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.