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Finding the Fourth Proportional to 299,003.12, 412,724.28 and 178,182.32

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Solution

The fourth proportional to 299,003.12, 412,724.28 and 178,182.32 is: 245,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,003.12 : 412,724.28 = 178,182.32 : x
  2. Step 2: Convert to fraction form
    299,003.12/412,724.28 = 178,182.32/x
  3. Step 3: Cross multiply
    299,003.12x = 412,724.28 × 178,182.32
  4. Step 4: Simplify right side
    299,003.12x = 73,540,169,730.73
  5. Step 5: Solve for x
    x = 73,540,169,730.73/299,003.12
  6. Step 6: Final answer
    x = 245,951.18

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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.