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Finding the Fourth Proportional to 551,457.80, 827,186.70 and 461,256.20

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Solution

The fourth proportional to 551,457.80, 827,186.70 and 461,256.20 is: 691,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,457.80 : 827,186.70 = 461,256.20 : x
  2. Step 2: Convert to fraction form
    551,457.80/827,186.70 = 461,256.20/x
  3. Step 3: Cross multiply
    551,457.80x = 827,186.70 × 461,256.20
  4. Step 4: Simplify right side
    551,457.80x = 381,544,993,932.54
  5. Step 5: Solve for x
    x = 381,544,993,932.54/551,457.80
  6. Step 6: Final answer
    x = 691,884.30

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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.