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Finding the Fourth Proportional to 230,922.40, 346,383.60 and 217,098.40

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Solution

The fourth proportional to 230,922.40, 346,383.60 and 217,098.40 is: 325,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,922.40 : 346,383.60 = 217,098.40 : x
  2. Step 2: Convert to fraction form
    230,922.40/346,383.60 = 217,098.40/x
  3. Step 3: Cross multiply
    230,922.40x = 346,383.60 × 217,098.40
  4. Step 4: Simplify right side
    230,922.40x = 75,199,325,346.24
  5. Step 5: Solve for x
    x = 75,199,325,346.24/230,922.40
  6. Step 6: Final answer
    x = 325,647.60

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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.