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Finding the Fourth Proportional to 551,864.30, 827,796.45 and 410,146.70

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Solution

The fourth proportional to 551,864.30, 827,796.45 and 410,146.70 is: 615,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,864.30 : 827,796.45 = 410,146.70 : x
  2. Step 2: Convert to fraction form
    551,864.30/827,796.45 = 410,146.70/x
  3. Step 3: Cross multiply
    551,864.30x = 827,796.45 × 410,146.70
  4. Step 4: Simplify right side
    551,864.30x = 339,517,982,239.22
  5. Step 5: Solve for x
    x = 339,517,982,239.22/551,864.30
  6. Step 6: Final answer
    x = 615,220.05

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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.