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Finding the Fourth Proportional to 369,963.88, 510,550.74 and 200,198.12

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Solution

The fourth proportional to 369,963.88, 510,550.74 and 200,198.12 is: 276,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,963.88 : 510,550.74 = 200,198.12 : x
  2. Step 2: Convert to fraction form
    369,963.88/510,550.74 = 200,198.12/x
  3. Step 3: Cross multiply
    369,963.88x = 510,550.74 × 200,198.12
  4. Step 4: Simplify right side
    369,963.88x = 102,211,298,312.61
  5. Step 5: Solve for x
    x = 102,211,298,312.61/369,963.88
  6. Step 6: Final answer
    x = 276,273.72

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1.5x scale

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.