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Finding the Fourth Proportional to 461,727.60, 692,447.40 and 181,330.80

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Solution

The fourth proportional to 461,727.60, 692,447.40 and 181,330.80 is: 271,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,727.60 : 692,447.40 = 181,330.80 : x
  2. Step 2: Convert to fraction form
    461,727.60/692,447.40 = 181,330.80/x
  3. Step 3: Cross multiply
    461,727.60x = 692,447.40 × 181,330.80
  4. Step 4: Simplify right side
    461,727.60x = 125,562,040,999.92
  5. Step 5: Solve for x
    x = 125,562,040,999.92/461,727.60
  6. Step 6: Final answer
    x = 271,939.65

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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.