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Finding the Fourth Proportional to 577,302.80, 865,800.60 and 177,942.80

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Solution

The fourth proportional to 577,302.80, 865,800.60 and 177,942.80 is: 266,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,302.80 : 865,800.60 = 177,942.80 : x
  2. Step 2: Convert to fraction form
    577,302.80/865,800.60 = 177,942.80/x
  3. Step 3: Cross multiply
    577,302.80x = 865,800.60 × 177,942.80
  4. Step 4: Simplify right side
    577,302.80x = 154,062,983,005.68
  5. Step 5: Solve for x
    x = 154,062,983,005.68/577,302.80
  6. Step 6: Final answer
    x = 266,866.86

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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.