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Finding the Fourth Proportional to 295,196.46, 407,366.01 and 167,869.14

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Solution

The fourth proportional to 295,196.46, 407,366.01 and 167,869.14 is: 231,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,196.46 : 407,366.01 = 167,869.14 : x
  2. Step 2: Convert to fraction form
    295,196.46/407,366.01 = 167,869.14/x
  3. Step 3: Cross multiply
    295,196.46x = 407,366.01 × 167,869.14
  4. Step 4: Simplify right side
    295,196.46x = 68,384,181,763.93
  5. Step 5: Solve for x
    x = 68,384,181,763.93/295,196.46
  6. Step 6: Final answer
    x = 231,656.51

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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.