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Finding the Fourth Proportional to 576,777.60, 865,231.20 and 177,415.20

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Solution

The fourth proportional to 576,777.60, 865,231.20 and 177,415.20 is: 266,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,777.60 : 865,231.20 = 177,415.20 : x
  2. Step 2: Convert to fraction form
    576,777.60/865,231.20 = 177,415.20/x
  3. Step 3: Cross multiply
    576,777.60x = 865,231.20 × 177,415.20
  4. Step 4: Simplify right side
    576,777.60x = 153,505,166,394.24
  5. Step 5: Solve for x
    x = 153,505,166,394.24/576,777.60
  6. Step 6: Final answer
    x = 266,142.73

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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.