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Finding the Fourth Proportional to 338,895.42, 467,627.04 and 202,896.78

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Solution

The fourth proportional to 338,895.42, 467,627.04 and 202,896.78 is: 279,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,895.42 : 467,627.04 = 202,896.78 : x
  2. Step 2: Convert to fraction form
    338,895.42/467,627.04 = 202,896.78/x
  3. Step 3: Cross multiply
    338,895.42x = 467,627.04 × 202,896.78
  4. Step 4: Simplify right side
    338,895.42x = 94,880,020,656.93
  5. Step 5: Solve for x
    x = 94,880,020,656.93/338,895.42
  6. Step 6: Final answer
    x = 279,968.44

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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.