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Finding the Fourth Proportional to 407,413.35, 562,226.16 and 226,126.85

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Solution

The fourth proportional to 407,413.35, 562,226.16 and 226,126.85 is: 312,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,413.35 : 562,226.16 = 226,126.85 : x
  2. Step 2: Convert to fraction form
    407,413.35/562,226.16 = 226,126.85/x
  3. Step 3: Cross multiply
    407,413.35x = 562,226.16 × 226,126.85
  4. Step 4: Simplify right side
    407,413.35x = 127,134,427,737.27
  5. Step 5: Solve for x
    x = 127,134,427,737.27/407,413.35
  6. Step 6: Final answer
    x = 312,052.68

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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.