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Finding the Fourth Proportional to 297,214.78, 410,156.40 and 169,893.13

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Solution

The fourth proportional to 297,214.78, 410,156.40 and 169,893.13 is: 234,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,214.78 : 410,156.40 = 169,893.13 : x
  2. Step 2: Convert to fraction form
    297,214.78/410,156.40 = 169,893.13/x
  3. Step 3: Cross multiply
    297,214.78x = 410,156.40 × 169,893.13
  4. Step 4: Simplify right side
    297,214.78x = 69,682,754,585.53
  5. Step 5: Solve for x
    x = 69,682,754,585.53/297,214.78
  6. Step 6: Final answer
    x = 234,452.52

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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.