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Finding the Fourth Proportional to 551,377.20, 827,209.80 and 177,409.20

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Solution

The fourth proportional to 551,377.20, 827,209.80 and 177,409.20 is: 266,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,377.20 : 827,209.80 = 177,409.20 : x
  2. Step 2: Convert to fraction form
    551,377.20/827,209.80 = 177,409.20/x
  3. Step 3: Cross multiply
    551,377.20x = 827,209.80 × 177,409.20
  4. Step 4: Simplify right side
    551,377.20x = 146,754,628,850.16
  5. Step 5: Solve for x
    x = 146,754,628,850.16/551,377.20
  6. Step 6: Final answer
    x = 266,160.13

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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.