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Finding the Fourth Proportional to 416,234.96, 574,430.20 and 234,977.60

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Solution

The fourth proportional to 416,234.96, 574,430.20 and 234,977.60 is: 324,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,234.96 : 574,430.20 = 234,977.60 : x
  2. Step 2: Convert to fraction form
    416,234.96/574,430.20 = 234,977.60/x
  3. Step 3: Cross multiply
    416,234.96x = 574,430.20 × 234,977.60
  4. Step 4: Simplify right side
    416,234.96x = 134,978,229,763.52
  5. Step 5: Solve for x
    x = 134,978,229,763.52/416,234.96
  6. Step 6: Final answer
    x = 324,283.74

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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.