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Finding the Fourth Proportional to 295,176.96, 407,380.32 and 167,883.84

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Solution

The fourth proportional to 295,176.96, 407,380.32 and 167,883.84 is: 231,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,176.96 : 407,380.32 = 167,883.84 : x
  2. Step 2: Convert to fraction form
    295,176.96/407,380.32 = 167,883.84/x
  3. Step 3: Cross multiply
    295,176.96x = 407,380.32 × 167,883.84
  4. Step 4: Simplify right side
    295,176.96x = 68,392,572,462.03
  5. Step 5: Solve for x
    x = 68,392,572,462.03/295,176.96
  6. Step 6: Final answer
    x = 231,700.24

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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.