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Finding the Fourth Proportional to 551,382.20, 827,097.60 and 311,492.60

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Solution

The fourth proportional to 551,382.20, 827,097.60 and 311,492.60 is: 467,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,382.20 : 827,097.60 = 311,492.60 : x
  2. Step 2: Convert to fraction form
    551,382.20/827,097.60 = 311,492.60/x
  3. Step 3: Cross multiply
    551,382.20x = 827,097.60 × 311,492.60
  4. Step 4: Simplify right side
    551,382.20x = 257,634,781,877.76
  5. Step 5: Solve for x
    x = 257,634,781,877.76/551,382.20
  6. Step 6: Final answer
    x = 467,252.63

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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.