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Finding the Fourth Proportional to 369,958.25, 510,543.74 and 200,192.38

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Solution

The fourth proportional to 369,958.25, 510,543.74 and 200,192.38 is: 276,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,958.25 : 510,543.74 = 200,192.38 : x
  2. Step 2: Convert to fraction form
    369,958.25/510,543.74 = 200,192.38/x
  3. Step 3: Cross multiply
    369,958.25x = 510,543.74 × 200,192.38
  4. Step 4: Simplify right side
    369,958.25x = 102,206,965,628.82
  5. Step 5: Solve for x
    x = 102,206,965,628.82/369,958.25
  6. Step 6: Final answer
    x = 276,266.21

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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.