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Finding the Fourth Proportional to 282,231.80, 423,708.42 and 242,505.08

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Solution

The fourth proportional to 282,231.80, 423,708.42 and 242,505.08 is: 364,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,231.80 : 423,708.42 = 242,505.08 : x
  2. Step 2: Convert to fraction form
    282,231.80/423,708.42 = 242,505.08/x
  3. Step 3: Cross multiply
    282,231.80x = 423,708.42 × 242,505.08
  4. Step 4: Simplify right side
    282,231.80x = 102,751,444,288.77
  5. Step 5: Solve for x
    x = 102,751,444,288.77/282,231.80
  6. Step 6: Final answer
    x = 364,067.57

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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.