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Finding the Fourth Proportional to 355,938.72, 491,148 and 205,006.56

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Solution

The fourth proportional to 355,938.72, 491,148 and 205,006.56 is: 282,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,938.72 : 491,148 = 205,006.56 : x
  2. Step 2: Convert to fraction form
    355,938.72/491,148 = 205,006.56/x
  3. Step 3: Cross multiply
    355,938.72x = 491,148 × 205,006.56
  4. Step 4: Simplify right side
    355,938.72x = 100,688,561,930.88
  5. Step 5: Solve for x
    x = 100,688,561,930.88/355,938.72
  6. Step 6: Final answer
    x = 282,881.73

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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.