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Finding the Fourth Proportional to 230,643.60, 346,456.98 and 217,160.70

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Solution

The fourth proportional to 230,643.60, 346,456.98 and 217,160.70 is: 326,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,643.60 : 346,456.98 = 217,160.70 : x
  2. Step 2: Convert to fraction form
    230,643.60/346,456.98 = 217,160.70/x
  3. Step 3: Cross multiply
    230,643.60x = 346,456.98 × 217,160.70
  4. Step 4: Simplify right side
    230,643.60x = 75,236,840,296.69
  5. Step 5: Solve for x
    x = 75,236,840,296.69/230,643.60
  6. Step 6: Final answer
    x = 326,203.89

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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.