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Finding the Fourth Proportional to 282,964.39, 424,400.44 and 83,238.06

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Solution

The fourth proportional to 282,964.39, 424,400.44 and 83,238.06 is: 124,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,964.39 : 424,400.44 = 83,238.06 : x
  2. Step 2: Convert to fraction form
    282,964.39/424,400.44 = 83,238.06/x
  3. Step 3: Cross multiply
    282,964.39x = 424,400.44 × 83,238.06
  4. Step 4: Simplify right side
    282,964.39x = 35,326,267,013.24
  5. Step 5: Solve for x
    x = 35,326,267,013.24/282,964.39
  6. Step 6: Final answer
    x = 124,843.51

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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.