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Finding the Fourth Proportional to 362,687.52, 543,697.68 and 194,323.68

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Solution

The fourth proportional to 362,687.52, 543,697.68 and 194,323.68 is: 291,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,687.52 : 543,697.68 = 194,323.68 : x
  2. Step 2: Convert to fraction form
    362,687.52/543,697.68 = 194,323.68/x
  3. Step 3: Cross multiply
    362,687.52x = 543,697.68 × 194,323.68
  4. Step 4: Simplify right side
    362,687.52x = 105,653,333,985.06
  5. Step 5: Solve for x
    x = 105,653,333,985.06/362,687.52
  6. Step 6: Final answer
    x = 291,306.78

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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.