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Finding the Fourth Proportional to 551,351.20, 827,051.10 and 311,461.60

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Solution

The fourth proportional to 551,351.20, 827,051.10 and 311,461.60 is: 467,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,351.20 : 827,051.10 = 311,461.60 : x
  2. Step 2: Convert to fraction form
    551,351.20/827,051.10 = 311,461.60/x
  3. Step 3: Cross multiply
    551,351.20x = 827,051.10 × 311,461.60
  4. Step 4: Simplify right side
    551,351.20x = 257,594,658,887.76
  5. Step 5: Solve for x
    x = 257,594,658,887.76/551,351.20
  6. Step 6: Final answer
    x = 467,206.13

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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.