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Finding the Fourth Proportional to 229,459.30, 343,852.80 and 205,766.80

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Solution

The fourth proportional to 229,459.30, 343,852.80 and 205,766.80 is: 308,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,459.30 : 343,852.80 = 205,766.80 : x
  2. Step 2: Convert to fraction form
    229,459.30/343,852.80 = 205,766.80/x
  3. Step 3: Cross multiply
    229,459.30x = 343,852.80 × 205,766.80
  4. Step 4: Simplify right side
    229,459.30x = 70,753,490,327.04
  5. Step 5: Solve for x
    x = 70,753,490,327.04/229,459.30
  6. Step 6: Final answer
    x = 308,348.76

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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.