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Finding the Fourth Proportional to 340,413.28, 469,826.44 and 259,688.40

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Solution

The fourth proportional to 340,413.28, 469,826.44 and 259,688.40 is: 358,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,413.28 : 469,826.44 = 259,688.40 : x
  2. Step 2: Convert to fraction form
    340,413.28/469,826.44 = 259,688.40/x
  3. Step 3: Cross multiply
    340,413.28x = 469,826.44 × 259,688.40
  4. Step 4: Simplify right side
    340,413.28x = 122,008,476,481.30
  5. Step 5: Solve for x
    x = 122,008,476,481.30/340,413.28
  6. Step 6: Final answer
    x = 358,412.80

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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.