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Finding the Fourth Proportional to 297,511.32, 410,737.32 and 225,765.84

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Solution

The fourth proportional to 297,511.32, 410,737.32 and 225,765.84 is: 311,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,511.32 : 410,737.32 = 225,765.84 : x
  2. Step 2: Convert to fraction form
    297,511.32/410,737.32 = 225,765.84/x
  3. Step 3: Cross multiply
    297,511.32x = 410,737.32 × 225,765.84
  4. Step 4: Simplify right side
    297,511.32x = 92,730,456,069.15
  5. Step 5: Solve for x
    x = 92,730,456,069.15/297,511.32
  6. Step 6: Final answer
    x = 311,687.15

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Why These Related Problems?

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