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Finding the Fourth Proportional to 230,819.10, 346,228.65 and 216,822.30

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Solution

The fourth proportional to 230,819.10, 346,228.65 and 216,822.30 is: 325,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,819.10 : 346,228.65 = 216,822.30 : x
  2. Step 2: Convert to fraction form
    230,819.10/346,228.65 = 216,822.30/x
  3. Step 3: Cross multiply
    230,819.10x = 346,228.65 × 216,822.30
  4. Step 4: Simplify right side
    230,819.10x = 75,070,092,218.90
  5. Step 5: Solve for x
    x = 75,070,092,218.90/230,819.10
  6. Step 6: Final answer
    x = 325,233.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.