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Finding the Fourth Proportional to 299,796.46, 413,742.72 and 170,740.38

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Solution

The fourth proportional to 299,796.46, 413,742.72 and 170,740.38 is: 235,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,796.46 : 413,742.72 = 170,740.38 : x
  2. Step 2: Convert to fraction form
    299,796.46/413,742.72 = 170,740.38/x
  3. Step 3: Cross multiply
    299,796.46x = 413,742.72 × 170,740.38
  4. Step 4: Simplify right side
    299,796.46x = 70,642,589,235.03
  5. Step 5: Solve for x
    x = 70,642,589,235.03/299,796.46
  6. Step 6: Final answer
    x = 235,635.17

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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.