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Finding the Fourth Proportional to 453,058.31, 678,108.78 and 333,083.54

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Solution

The fourth proportional to 453,058.31, 678,108.78 and 333,083.54 is: 498,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,058.31 : 678,108.78 = 333,083.54 : x
  2. Step 2: Convert to fraction form
    453,058.31/678,108.78 = 333,083.54/x
  3. Step 3: Cross multiply
    453,058.31x = 678,108.78 × 333,083.54
  4. Step 4: Simplify right side
    453,058.31x = 225,866,874,642.75
  5. Step 5: Solve for x
    x = 225,866,874,642.75/453,058.31
  6. Step 6: Final answer
    x = 498,538.20

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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.