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Finding the Fourth Proportional to 462,523.33, 638,478.94 and 281,293.47

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Solution

The fourth proportional to 462,523.33, 638,478.94 and 281,293.47 is: 388,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,523.33 : 638,478.94 = 281,293.47 : x
  2. Step 2: Convert to fraction form
    462,523.33/638,478.94 = 281,293.47/x
  3. Step 3: Cross multiply
    462,523.33x = 638,478.94 × 281,293.47
  4. Step 4: Simplify right side
    462,523.33x = 179,599,957,257.76
  5. Step 5: Solve for x
    x = 179,599,957,257.76/462,523.33
  6. Step 6: Final answer
    x = 388,304.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.