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Finding the Fourth Proportional to 295,086.33, 407,253.69 and 167,781.06

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Solution

The fourth proportional to 295,086.33, 407,253.69 and 167,781.06 is: 231,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,086.33 : 407,253.69 = 167,781.06 : x
  2. Step 2: Convert to fraction form
    295,086.33/407,253.69 = 167,781.06/x
  3. Step 3: Cross multiply
    295,086.33x = 407,253.69 × 167,781.06
  4. Step 4: Simplify right side
    295,086.33x = 68,329,455,797.11
  5. Step 5: Solve for x
    x = 68,329,455,797.11/295,086.33
  6. Step 6: Final answer
    x = 231,557.51

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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.