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Finding the Fourth Proportional to 577,137.70, 865,801.41 and 177,778.54

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Solution

The fourth proportional to 577,137.70, 865,801.41 and 177,778.54 is: 266,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,137.70 : 865,801.41 = 177,778.54 : x
  2. Step 2: Convert to fraction form
    577,137.70/865,801.41 = 177,778.54/x
  3. Step 3: Cross multiply
    577,137.70x = 865,801.41 × 177,778.54
  4. Step 4: Simplify right side
    577,137.70x = 153,920,910,599.74
  5. Step 5: Solve for x
    x = 153,920,910,599.74/577,137.70
  6. Step 6: Final answer
    x = 266,697.03

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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.