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Finding the Fourth Proportional to 289,738.28, 399,837.56 and 162,413.90

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Solution

The fourth proportional to 289,738.28, 399,837.56 and 162,413.90 is: 224,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,738.28 : 399,837.56 = 162,413.90 : x
  2. Step 2: Convert to fraction form
    289,738.28/399,837.56 = 162,413.90/x
  3. Step 3: Cross multiply
    289,738.28x = 399,837.56 × 162,413.90
  4. Step 4: Simplify right side
    289,738.28x = 64,939,177,486.08
  5. Step 5: Solve for x
    x = 64,939,177,486.08/289,738.28
  6. Step 6: Final answer
    x = 224,130.47

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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.