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Finding the Fourth Proportional to 702,499.24, 969,464.10 and 396,517.24

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Solution

The fourth proportional to 702,499.24, 969,464.10 and 396,517.24 is: 547,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,499.24 : 969,464.10 = 396,517.24 : x
  2. Step 2: Convert to fraction form
    702,499.24/969,464.10 = 396,517.24/x
  3. Step 3: Cross multiply
    702,499.24x = 969,464.10 × 396,517.24
  4. Step 4: Simplify right side
    702,499.24x = 384,409,229,211.08
  5. Step 5: Solve for x
    x = 384,409,229,211.08/702,499.24
  6. Step 6: Final answer
    x = 547,202.34

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Double scale
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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.