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Finding the Fourth Proportional to 551,711.40, 827,490.30 and 177,772.20

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Solution

The fourth proportional to 551,711.40, 827,490.30 and 177,772.20 is: 266,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,711.40 : 827,490.30 = 177,772.20 : x
  2. Step 2: Convert to fraction form
    551,711.40/827,490.30 = 177,772.20/x
  3. Step 3: Cross multiply
    551,711.40x = 827,490.30 × 177,772.20
  4. Step 4: Simplify right side
    551,711.40x = 147,104,771,109.66
  5. Step 5: Solve for x
    x = 147,104,771,109.66/551,711.40
  6. Step 6: Final answer
    x = 266,633.55

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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.