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Finding the Fourth Proportional to 551,094.42, 825,035.78 and 409,566.36

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Solution

The fourth proportional to 551,094.42, 825,035.78 and 409,566.36 is: 613,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,094.42 : 825,035.78 = 409,566.36 : x
  2. Step 2: Convert to fraction form
    551,094.42/825,035.78 = 409,566.36/x
  3. Step 3: Cross multiply
    551,094.42x = 825,035.78 × 409,566.36
  4. Step 4: Simplify right side
    551,094.42x = 337,906,901,284.36
  5. Step 5: Solve for x
    x = 337,906,901,284.36/551,094.42
  6. Step 6: Final answer
    x = 613,156.09

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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.