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Finding the Fourth Proportional to 577,337.60, 866,006.40 and 177,942.80

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Solution

The fourth proportional to 577,337.60, 866,006.40 and 177,942.80 is: 266,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,337.60 : 866,006.40 = 177,942.80 : x
  2. Step 2: Convert to fraction form
    577,337.60/866,006.40 = 177,942.80/x
  3. Step 3: Cross multiply
    577,337.60x = 866,006.40 × 177,942.80
  4. Step 4: Simplify right side
    577,337.60x = 154,099,603,633.92
  5. Step 5: Solve for x
    x = 154,099,603,633.92/577,337.60
  6. Step 6: Final answer
    x = 266,914.20

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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.