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Finding the Fourth Proportional to 367,836.54, 507,643.83 and 206,699.10

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Solution

The fourth proportional to 367,836.54, 507,643.83 and 206,699.10 is: 285,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,836.54 : 507,643.83 = 206,699.10 : x
  2. Step 2: Convert to fraction form
    367,836.54/507,643.83 = 206,699.10/x
  3. Step 3: Cross multiply
    367,836.54x = 507,643.83 × 206,699.10
  4. Step 4: Simplify right side
    367,836.54x = 104,929,522,781.55
  5. Step 5: Solve for x
    x = 104,929,522,781.55/367,836.54
  6. Step 6: Final answer
    x = 285,261.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.