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Finding the Fourth Proportional to 492,091.24, 738,370.14 and 292,805.32

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Solution

The fourth proportional to 492,091.24, 738,370.14 and 292,805.32 is: 439,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,091.24 : 738,370.14 = 292,805.32 : x
  2. Step 2: Convert to fraction form
    492,091.24/738,370.14 = 292,805.32/x
  3. Step 3: Cross multiply
    492,091.24x = 738,370.14 × 292,805.32
  4. Step 4: Simplify right side
    492,091.24x = 216,198,705,121.15
  5. Step 5: Solve for x
    x = 216,198,705,121.15/492,091.24
  6. Step 6: Final answer
    x = 439,346.79

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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.