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Finding the Fourth Proportional to 314,481.97, 433,877.20 and 178,505.65

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Solution

The fourth proportional to 314,481.97, 433,877.20 and 178,505.65 is: 246,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,481.97 : 433,877.20 = 178,505.65 : x
  2. Step 2: Convert to fraction form
    314,481.97/433,877.20 = 178,505.65/x
  3. Step 3: Cross multiply
    314,481.97x = 433,877.20 × 178,505.65
  4. Step 4: Simplify right side
    314,481.97x = 77,449,531,606.18
  5. Step 5: Solve for x
    x = 77,449,531,606.18/314,481.97
  6. Step 6: Final answer
    x = 246,276.54

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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.