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Finding the Fourth Proportional to 297,209.95, 410,194.76 and 189,851.49

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Solution

The fourth proportional to 297,209.95, 410,194.76 and 189,851.49 is: 262,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,209.95 : 410,194.76 = 189,851.49 : x
  2. Step 2: Convert to fraction form
    297,209.95/410,194.76 = 189,851.49/x
  3. Step 3: Cross multiply
    297,209.95x = 410,194.76 × 189,851.49
  4. Step 4: Simplify right side
    297,209.95x = 77,876,085,426.94
  5. Step 5: Solve for x
    x = 77,876,085,426.94/297,209.95
  6. Step 6: Final answer
    x = 262,023.82

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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.