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Finding the Fourth Proportional to 288,413.62, 398,018.82 and 159,360.41

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Solution

The fourth proportional to 288,413.62, 398,018.82 and 159,360.41 is: 219,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,413.62 : 398,018.82 = 159,360.41 : x
  2. Step 2: Convert to fraction form
    288,413.62/398,018.82 = 159,360.41/x
  3. Step 3: Cross multiply
    288,413.62x = 398,018.82 × 159,360.41
  4. Step 4: Simplify right side
    288,413.62x = 63,428,441,347.87
  5. Step 5: Solve for x
    x = 63,428,441,347.87/288,413.62
  6. Step 6: Final answer
    x = 219,921.80

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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.