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Finding the Fourth Proportional to 577,136.72, 865,798.20 and 177,777.44

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Solution

The fourth proportional to 577,136.72, 865,798.20 and 177,777.44 is: 266,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,136.72 : 865,798.20 = 177,777.44 : x
  2. Step 2: Convert to fraction form
    577,136.72/865,798.20 = 177,777.44/x
  3. Step 3: Cross multiply
    577,136.72x = 865,798.20 × 177,777.44
  4. Step 4: Simplify right side
    577,136.72x = 153,919,387,552.61
  5. Step 5: Solve for x
    x = 153,919,387,552.61/577,136.72
  6. Step 6: Final answer
    x = 266,694.84

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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.