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Finding the Fourth Proportional to 458,621.94, 687,777.12 and 174,243.90

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Solution

The fourth proportional to 458,621.94, 687,777.12 and 174,243.90 is: 261,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,621.94 : 687,777.12 = 174,243.90 : x
  2. Step 2: Convert to fraction form
    458,621.94/687,777.12 = 174,243.90/x
  3. Step 3: Cross multiply
    458,621.94x = 687,777.12 × 174,243.90
  4. Step 4: Simplify right side
    458,621.94x = 119,840,967,719.57
  5. Step 5: Solve for x
    x = 119,840,967,719.57/458,621.94
  6. Step 6: Final answer
    x = 261,306.66

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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.