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Finding the Fourth Proportional to 297,445.95, 410,323.37 and 189,902.97

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Solution

The fourth proportional to 297,445.95, 410,323.37 and 189,902.97 is: 261,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,445.95 : 410,323.37 = 189,902.97 : x
  2. Step 2: Convert to fraction form
    297,445.95/410,323.37 = 189,902.97/x
  3. Step 3: Cross multiply
    297,445.95x = 410,323.37 × 189,902.97
  4. Step 4: Simplify right side
    297,445.95x = 77,921,625,673.89
  5. Step 5: Solve for x
    x = 77,921,625,673.89/297,445.95
  6. Step 6: Final answer
    x = 261,969.03

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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.