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Finding the Fourth Proportional to 295,132.64, 407,241.96 and 167,794.16

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Solution

The fourth proportional to 295,132.64, 407,241.96 and 167,794.16 is: 231,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,132.64 : 407,241.96 = 167,794.16 : x
  2. Step 2: Convert to fraction form
    295,132.64/407,241.96 = 167,794.16/x
  3. Step 3: Cross multiply
    295,132.64x = 407,241.96 × 167,794.16
  4. Step 4: Simplify right side
    295,132.64x = 68,332,822,594.95
  5. Step 5: Solve for x
    x = 68,332,822,594.95/295,132.64
  6. Step 6: Final answer
    x = 231,532.58

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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.