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Finding the Fourth Proportional to 551,492.20, 827,382.30 and 177,524.20

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Solution

The fourth proportional to 551,492.20, 827,382.30 and 177,524.20 is: 266,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,492.20 : 827,382.30 = 177,524.20 : x
  2. Step 2: Convert to fraction form
    551,492.20/827,382.30 = 177,524.20/x
  3. Step 3: Cross multiply
    551,492.20x = 827,382.30 × 177,524.20
  4. Step 4: Simplify right side
    551,492.20x = 146,880,380,901.66
  5. Step 5: Solve for x
    x = 146,880,380,901.66/551,492.20
  6. Step 6: Final answer
    x = 266,332.65

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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.