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Finding the Fourth Proportional to 338,896.42, 467,628.42 and 202,897.78

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Solution

The fourth proportional to 338,896.42, 467,628.42 and 202,897.78 is: 279,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,896.42 : 467,628.42 = 202,897.78 : x
  2. Step 2: Convert to fraction form
    338,896.42/467,628.42 = 202,897.78/x
  3. Step 3: Cross multiply
    338,896.42x = 467,628.42 × 202,897.78
  4. Step 4: Simplify right side
    338,896.42x = 94,880,768,282.91
  5. Step 5: Solve for x
    x = 94,880,768,282.91/338,896.42
  6. Step 6: Final answer
    x = 279,969.82

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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.