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Finding the Fourth Proportional to 537,605.12, 741,646.86 and 322,371.92

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Solution

The fourth proportional to 537,605.12, 741,646.86 and 322,371.92 is: 444,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,605.12 : 741,646.86 = 322,371.92 : x
  2. Step 2: Convert to fraction form
    537,605.12/741,646.86 = 322,371.92/x
  3. Step 3: Cross multiply
    537,605.12x = 741,646.86 × 322,371.92
  4. Step 4: Simplify right side
    537,605.12x = 239,086,122,220.17
  5. Step 5: Solve for x
    x = 239,086,122,220.17/537,605.12
  6. Step 6: Final answer
    x = 444,724.41

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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.