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Finding the Fourth Proportional to 297,200.10, 410,295.25 and 229,067.76

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Solution

The fourth proportional to 297,200.10, 410,295.25 and 229,067.76 is: 316,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,200.10 : 410,295.25 = 229,067.76 : x
  2. Step 2: Convert to fraction form
    297,200.10/410,295.25 = 229,067.76/x
  3. Step 3: Cross multiply
    297,200.10x = 410,295.25 × 229,067.76
  4. Step 4: Simplify right side
    297,200.10x = 93,985,411,231.99
  5. Step 5: Solve for x
    x = 93,985,411,231.99/297,200.10
  6. Step 6: Final answer
    x = 316,236.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.