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Finding the Fourth Proportional to 369,850.38, 510,388.55 and 206,509.42

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Solution

The fourth proportional to 369,850.38, 510,388.55 and 206,509.42 is: 284,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,850.38 : 510,388.55 = 206,509.42 : x
  2. Step 2: Convert to fraction form
    369,850.38/510,388.55 = 206,509.42/x
  3. Step 3: Cross multiply
    369,850.38x = 510,388.55 × 206,509.42
  4. Step 4: Simplify right side
    369,850.38x = 105,400,043,435.14
  5. Step 5: Solve for x
    x = 105,400,043,435.14/369,850.38
  6. Step 6: Final answer
    x = 284,980.22

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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.