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Finding the Fourth Proportional to 297,214.80, 410,156.40 and 169,893.12

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Solution

The fourth proportional to 297,214.80, 410,156.40 and 169,893.12 is: 234,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,214.80 : 410,156.40 = 169,893.12 : x
  2. Step 2: Convert to fraction form
    297,214.80/410,156.40 = 169,893.12/x
  3. Step 3: Cross multiply
    297,214.80x = 410,156.40 × 169,893.12
  4. Step 4: Simplify right side
    297,214.80x = 69,682,750,483.97
  5. Step 5: Solve for x
    x = 69,682,750,483.97/297,214.80
  6. Step 6: Final answer
    x = 234,452.49

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1.5x scale

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.