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Finding the Fourth Proportional to 299,568.82, 413,407.80 and 170,500.97

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Solution

The fourth proportional to 299,568.82, 413,407.80 and 170,500.97 is: 235,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,568.82 : 413,407.80 = 170,500.97 : x
  2. Step 2: Convert to fraction form
    299,568.82/413,407.80 = 170,500.97/x
  3. Step 3: Cross multiply
    299,568.82x = 413,407.80 × 170,500.97
  4. Step 4: Simplify right side
    299,568.82x = 70,486,430,905.57
  5. Step 5: Solve for x
    x = 70,486,430,905.57/299,568.82
  6. Step 6: Final answer
    x = 235,292.95

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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.