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Finding the Fourth Proportional to 291,858.12, 402,734.70 and 215,418.96

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Solution

The fourth proportional to 291,858.12, 402,734.70 and 215,418.96 is: 297,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,858.12 : 402,734.70 = 215,418.96 : x
  2. Step 2: Convert to fraction form
    291,858.12/402,734.70 = 215,418.96/x
  3. Step 3: Cross multiply
    291,858.12x = 402,734.70 × 215,418.96
  4. Step 4: Simplify right side
    291,858.12x = 86,756,690,229.91
  5. Step 5: Solve for x
    x = 86,756,690,229.91/291,858.12
  6. Step 6: Final answer
    x = 297,256.39

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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.