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Finding the Fourth Proportional to 354,887.34, 489,715.11 and 201,884.82

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Solution

The fourth proportional to 354,887.34, 489,715.11 and 201,884.82 is: 278,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,887.34 : 489,715.11 = 201,884.82 : x
  2. Step 2: Convert to fraction form
    354,887.34/489,715.11 = 201,884.82/x
  3. Step 3: Cross multiply
    354,887.34x = 489,715.11 × 201,884.82
  4. Step 4: Simplify right side
    354,887.34x = 98,866,046,833.63
  5. Step 5: Solve for x
    x = 98,866,046,833.63/354,887.34
  6. Step 6: Final answer
    x = 278,584.32

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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.