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Finding the Fourth Proportional to 362,297.60, 541,696.80 and 267,819.20

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Solution

The fourth proportional to 362,297.60, 541,696.80 and 267,819.20 is: 400,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,297.60 : 541,696.80 = 267,819.20 : x
  2. Step 2: Convert to fraction form
    362,297.60/541,696.80 = 267,819.20/x
  3. Step 3: Cross multiply
    362,297.60x = 541,696.80 × 267,819.20
  4. Step 4: Simplify right side
    362,297.60x = 145,076,803,618.56
  5. Step 5: Solve for x
    x = 145,076,803,618.56/362,297.60
  6. Step 6: Final answer
    x = 400,435.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.