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Finding the Fourth Proportional to 458,540.41, 687,929.54 and 174,235.88

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Solution

The fourth proportional to 458,540.41, 687,929.54 and 174,235.88 is: 261,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,540.41 : 687,929.54 = 174,235.88 : x
  2. Step 2: Convert to fraction form
    458,540.41/687,929.54 = 174,235.88/x
  3. Step 3: Cross multiply
    458,540.41x = 687,929.54 × 174,235.88
  4. Step 4: Simplify right side
    458,540.41x = 119,862,006,739.01
  5. Step 5: Solve for x
    x = 119,862,006,739.01/458,540.41
  6. Step 6: Final answer
    x = 261,399.00

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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.