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Finding the Fourth Proportional to 340,413.40, 510,620.10 and 222,315.40

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Solution

The fourth proportional to 340,413.40, 510,620.10 and 222,315.40 is: 333,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,413.40 : 510,620.10 = 222,315.40 : x
  2. Step 2: Convert to fraction form
    340,413.40/510,620.10 = 222,315.40/x
  3. Step 3: Cross multiply
    340,413.40x = 510,620.10 × 222,315.40
  4. Step 4: Simplify right side
    340,413.40x = 113,518,711,779.54
  5. Step 5: Solve for x
    x = 113,518,711,779.54/340,413.40
  6. Step 6: Final answer
    x = 333,473.10

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