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Finding the Fourth Proportional to 266,413.26, 399,275.44 and 199,327.04

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Solution

The fourth proportional to 266,413.26, 399,275.44 and 199,327.04 is: 298,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,413.26 : 399,275.44 = 199,327.04 : x
  2. Step 2: Convert to fraction form
    266,413.26/399,275.44 = 199,327.04/x
  3. Step 3: Cross multiply
    266,413.26x = 399,275.44 × 199,327.04
  4. Step 4: Simplify right side
    266,413.26x = 79,586,390,602.49
  5. Step 5: Solve for x
    x = 79,586,390,602.49/266,413.26
  6. Step 6: Final answer
    x = 298,732.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.