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Finding the Fourth Proportional to 362,143.80, 543,215.70 and 278,327.03

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Solution

The fourth proportional to 362,143.80, 543,215.70 and 278,327.03 is: 417,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,143.80 : 543,215.70 = 278,327.03 : x
  2. Step 2: Convert to fraction form
    362,143.80/543,215.70 = 278,327.03/x
  3. Step 3: Cross multiply
    362,143.80x = 543,215.70 × 278,327.03
  4. Step 4: Simplify right side
    362,143.80x = 151,191,609,714.29
  5. Step 5: Solve for x
    x = 151,191,609,714.29/362,143.80
  6. Step 6: Final answer
    x = 417,490.54

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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.