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Finding the Fourth Proportional to 338,916.42, 467,656.02 and 202,917.78

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Solution

The fourth proportional to 338,916.42, 467,656.02 and 202,917.78 is: 279,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,916.42 : 467,656.02 = 202,917.78 : x
  2. Step 2: Convert to fraction form
    338,916.42/467,656.02 = 202,917.78/x
  3. Step 3: Cross multiply
    338,916.42x = 467,656.02 × 202,917.78
  4. Step 4: Simplify right side
    338,916.42x = 94,895,721,382.04
  5. Step 5: Solve for x
    x = 94,895,721,382.04/338,916.42
  6. Step 6: Final answer
    x = 279,997.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.