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Finding the Fourth Proportional to 294,500.16, 406,280.88 and 198,972

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Solution

The fourth proportional to 294,500.16, 406,280.88 and 198,972 is: 274,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,500.16 : 406,280.88 = 198,972 : x
  2. Step 2: Convert to fraction form
    294,500.16/406,280.88 = 198,972/x
  3. Step 3: Cross multiply
    294,500.16x = 406,280.88 × 198,972
  4. Step 4: Simplify right side
    294,500.16x = 80,838,519,255.36
  5. Step 5: Solve for x
    x = 80,838,519,255.36/294,500.16
  6. Step 6: Final answer
    x = 274,493.97

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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.