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Finding the Fourth Proportional to 458,693.94, 687,768.37 and 174,405.28

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Solution

The fourth proportional to 458,693.94, 687,768.37 and 174,405.28 is: 261,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,693.94 : 687,768.37 = 174,405.28 : x
  2. Step 2: Convert to fraction form
    458,693.94/687,768.37 = 174,405.28/x
  3. Step 3: Cross multiply
    458,693.94x = 687,768.37 × 174,405.28
  4. Step 4: Simplify right side
    458,693.94x = 119,950,432,344.78
  5. Step 5: Solve for x
    x = 119,950,432,344.78/458,693.94
  6. Step 6: Final answer
    x = 261,504.29

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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.