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Finding the Fourth Proportional to 299,199.74, 412,839.23 and 178,352.28

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Solution

The fourth proportional to 299,199.74, 412,839.23 and 178,352.28 is: 246,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,199.74 : 412,839.23 = 178,352.28 : x
  2. Step 2: Convert to fraction form
    299,199.74/412,839.23 = 178,352.28/x
  3. Step 3: Cross multiply
    299,199.74x = 412,839.23 × 178,352.28
  4. Step 4: Simplify right side
    299,199.74x = 73,630,817,052.18
  5. Step 5: Solve for x
    x = 73,630,817,052.18/299,199.74
  6. Step 6: Final answer
    x = 246,092.52

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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.