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Finding the Fourth Proportional to 230,961.60, 346,442.40 and 216,964.80

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Solution

The fourth proportional to 230,961.60, 346,442.40 and 216,964.80 is: 325,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,961.60 : 346,442.40 = 216,964.80 : x
  2. Step 2: Convert to fraction form
    230,961.60/346,442.40 = 216,964.80/x
  3. Step 3: Cross multiply
    230,961.60x = 346,442.40 × 216,964.80
  4. Step 4: Simplify right side
    230,961.60x = 75,165,806,027.52
  5. Step 5: Solve for x
    x = 75,165,806,027.52/230,961.60
  6. Step 6: Final answer
    x = 325,447.20

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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.