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Finding the Fourth Proportional to 370,588.72, 511,413.02 and 200,822.84

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Solution

The fourth proportional to 370,588.72, 511,413.02 and 200,822.84 is: 277,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,588.72 : 511,413.02 = 200,822.84 : x
  2. Step 2: Convert to fraction form
    370,588.72/511,413.02 = 200,822.84/x
  3. Step 3: Cross multiply
    370,588.72x = 511,413.02 × 200,822.84
  4. Step 4: Simplify right side
    370,588.72x = 102,703,416,510.97
  5. Step 5: Solve for x
    x = 102,703,416,510.97/370,588.72
  6. Step 6: Final answer
    x = 277,135.84

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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.