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Finding the Fourth Proportional to 369,698.88, 510,182.64 and 199,932.60

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Solution

The fourth proportional to 369,698.88, 510,182.64 and 199,932.60 is: 275,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,698.88 : 510,182.64 = 199,932.60 : x
  2. Step 2: Convert to fraction form
    369,698.88/510,182.64 = 199,932.60/x
  3. Step 3: Cross multiply
    369,698.88x = 510,182.64 × 199,932.60
  4. Step 4: Simplify right side
    369,698.88x = 102,002,141,690.06
  5. Step 5: Solve for x
    x = 102,002,141,690.06/369,698.88
  6. Step 6: Final answer
    x = 275,906.01

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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.