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Finding the Fourth Proportional to 314,432.60, 471,648.90 and 156,968.60

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Solution

The fourth proportional to 314,432.60, 471,648.90 and 156,968.60 is: 235,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,432.60 : 471,648.90 = 156,968.60 : x
  2. Step 2: Convert to fraction form
    314,432.60/471,648.90 = 156,968.60/x
  3. Step 3: Cross multiply
    314,432.60x = 471,648.90 × 156,968.60
  4. Step 4: Simplify right side
    314,432.60x = 74,034,067,524.54
  5. Step 5: Solve for x
    x = 74,034,067,524.54/314,432.60
  6. Step 6: Final answer
    x = 235,452.90

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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.