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Finding the Fourth Proportional to 363,052.80, 543,412.80 and 258,076.80

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Solution

The fourth proportional to 363,052.80, 543,412.80 and 258,076.80 is: 386,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,052.80 : 543,412.80 = 258,076.80 : x
  2. Step 2: Convert to fraction form
    363,052.80/543,412.80 = 258,076.80/x
  3. Step 3: Cross multiply
    363,052.80x = 543,412.80 × 258,076.80
  4. Step 4: Simplify right side
    363,052.80x = 140,242,236,503.04
  5. Step 5: Solve for x
    x = 140,242,236,503.04/363,052.80
  6. Step 6: Final answer
    x = 386,286.06

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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.