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Finding the Fourth Proportional to 361,764.80, 542,493.60 and 174,833.60

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Solution

The fourth proportional to 361,764.80, 542,493.60 and 174,833.60 is: 262,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,764.80 : 542,493.60 = 174,833.60 : x
  2. Step 2: Convert to fraction form
    361,764.80/542,493.60 = 174,833.60/x
  3. Step 3: Cross multiply
    361,764.80x = 542,493.60 × 174,833.60
  4. Step 4: Simplify right side
    361,764.80x = 94,846,109,064.96
  5. Step 5: Solve for x
    x = 94,846,109,064.96/361,764.80
  6. Step 6: Final answer
    x = 262,176.17

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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.