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Finding the Fourth Proportional to 421,413.32, 581,550.36 and 230,426.84

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Solution

The fourth proportional to 421,413.32, 581,550.36 and 230,426.84 is: 317,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,413.32 : 581,550.36 = 230,426.84 : x
  2. Step 2: Convert to fraction form
    421,413.32/581,550.36 = 230,426.84/x
  3. Step 3: Cross multiply
    421,413.32x = 581,550.36 × 230,426.84
  4. Step 4: Simplify right side
    421,413.32x = 134,004,811,755.66
  5. Step 5: Solve for x
    x = 134,004,811,755.66/421,413.32
  6. Step 6: Final answer
    x = 317,989.03

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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.