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Finding the Fourth Proportional to 471,215.82, 701,494.17 and 468,413.37

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Solution

The fourth proportional to 471,215.82, 701,494.17 and 468,413.37 is: 697,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,215.82 : 701,494.17 = 468,413.37 : x
  2. Step 2: Convert to fraction form
    471,215.82/701,494.17 = 468,413.37/x
  3. Step 3: Cross multiply
    471,215.82x = 701,494.17 × 468,413.37
  4. Step 4: Simplify right side
    471,215.82x = 328,589,248,205.05
  5. Step 5: Solve for x
    x = 328,589,248,205.05/471,215.82
  6. Step 6: Final answer
    x = 697,322.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.