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Finding the Fourth Proportional to 297,820.33, 410,589.61 and 202,160.95

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Solution

The fourth proportional to 297,820.33, 410,589.61 and 202,160.95 is: 278,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,820.33 : 410,589.61 = 202,160.95 : x
  2. Step 2: Convert to fraction form
    297,820.33/410,589.61 = 202,160.95/x
  3. Step 3: Cross multiply
    297,820.33x = 410,589.61 × 202,160.95
  4. Step 4: Simplify right side
    297,820.33x = 83,005,184,085.85
  5. Step 5: Solve for x
    x = 83,005,184,085.85/297,820.33
  6. Step 6: Final answer
    x = 278,708.93

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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.