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Finding the Fourth Proportional to 462,464.73, 638,219.93 and 268,871.49

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Solution

The fourth proportional to 462,464.73, 638,219.93 and 268,871.49 is: 371,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,464.73 : 638,219.93 = 268,871.49 : x
  2. Step 2: Convert to fraction form
    462,464.73/638,219.93 = 268,871.49/x
  3. Step 3: Cross multiply
    462,464.73x = 638,219.93 × 268,871.49
  4. Step 4: Simplify right side
    462,464.73x = 171,599,142,182.44
  5. Step 5: Solve for x
    x = 171,599,142,182.44/462,464.73
  6. Step 6: Final answer
    x = 371,053.47

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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.