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Finding the Fourth Proportional to 295,901.78, 408,336.24 and 166,839.12

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Solution

The fourth proportional to 295,901.78, 408,336.24 and 166,839.12 is: 230,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,901.78 : 408,336.24 = 166,839.12 : x
  2. Step 2: Convert to fraction form
    295,901.78/408,336.24 = 166,839.12/x
  3. Step 3: Cross multiply
    295,901.78x = 408,336.24 × 166,839.12
  4. Step 4: Simplify right side
    295,901.78x = 68,126,458,945.71
  5. Step 5: Solve for x
    x = 68,126,458,945.71/295,901.78
  6. Step 6: Final answer
    x = 230,233.35

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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.