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Finding the Fourth Proportional to 458,083.78, 687,393.57 and 191,822.02

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Solution

The fourth proportional to 458,083.78, 687,393.57 and 191,822.02 is: 287,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,083.78 : 687,393.57 = 191,822.02 : x
  2. Step 2: Convert to fraction form
    458,083.78/687,393.57 = 191,822.02/x
  3. Step 3: Cross multiply
    458,083.78x = 687,393.57 × 191,822.02
  4. Step 4: Simplify right side
    458,083.78x = 131,857,219,695.44
  5. Step 5: Solve for x
    x = 131,857,219,695.44/458,083.78
  6. Step 6: Final answer
    x = 287,845.21

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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.