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Finding the Fourth Proportional to 458,684.23, 687,753.78 and 174,395.59

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Solution

The fourth proportional to 458,684.23, 687,753.78 and 174,395.59 is: 261,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,684.23 : 687,753.78 = 174,395.59 : x
  2. Step 2: Convert to fraction form
    458,684.23/687,753.78 = 174,395.59/x
  3. Step 3: Cross multiply
    458,684.23x = 687,753.78 × 174,395.59
  4. Step 4: Simplify right side
    458,684.23x = 119,941,227,733.08
  5. Step 5: Solve for x
    x = 119,941,227,733.08/458,684.23
  6. Step 6: Final answer
    x = 261,489.76

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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.