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Finding the Fourth Proportional to 295,114.78, 407,258.45 and 167,798.17

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Solution

The fourth proportional to 295,114.78, 407,258.45 and 167,798.17 is: 231,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,114.78 : 407,258.45 = 167,798.17 : x
  2. Step 2: Convert to fraction form
    295,114.78/407,258.45 = 167,798.17/x
  3. Step 3: Cross multiply
    295,114.78x = 407,258.45 × 167,798.17
  4. Step 4: Simplify right side
    295,114.78x = 68,337,222,627.04
  5. Step 5: Solve for x
    x = 68,337,222,627.04/295,114.78
  6. Step 6: Final answer
    x = 231,561.51

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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.