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Finding the Fourth Proportional to 458,697.31, 687,773.43 and 174,408.66

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Solution

The fourth proportional to 458,697.31, 687,773.43 and 174,408.66 is: 261,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,697.31 : 687,773.43 = 174,408.66 : x
  2. Step 2: Convert to fraction form
    458,697.31/687,773.43 = 174,408.66/x
  3. Step 3: Cross multiply
    458,697.31x = 687,773.43 × 174,408.66
  4. Step 4: Simplify right side
    458,697.31x = 119,953,642,309.90
  5. Step 5: Solve for x
    x = 119,953,642,309.90/458,697.31
  6. Step 6: Final answer
    x = 261,509.36

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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.