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Finding the Fourth Proportional to 299,396.02, 413,162.86 and 170,334.16

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Solution

The fourth proportional to 299,396.02, 413,162.86 and 170,334.16 is: 235,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,396.02 : 413,162.86 = 170,334.16 : x
  2. Step 2: Convert to fraction form
    299,396.02/413,162.86 = 170,334.16/x
  3. Step 3: Cross multiply
    299,396.02x = 413,162.86 × 170,334.16
  4. Step 4: Simplify right side
    299,396.02x = 70,375,749,885.97
  5. Step 5: Solve for x
    x = 70,375,749,885.97/299,396.02
  6. Step 6: Final answer
    x = 235,059.07

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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.