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Finding the Fourth Proportional to 319,645.92, 479,546.88 and 106,413.48

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Solution

The fourth proportional to 319,645.92, 479,546.88 and 106,413.48 is: 159,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,645.92 : 479,546.88 = 106,413.48 : x
  2. Step 2: Convert to fraction form
    319,645.92/479,546.88 = 106,413.48/x
  3. Step 3: Cross multiply
    319,645.92x = 479,546.88 × 106,413.48
  4. Step 4: Simplify right side
    319,645.92x = 51,030,252,323.94
  5. Step 5: Solve for x
    x = 51,030,252,323.94/319,645.92
  6. Step 6: Final answer
    x = 159,646.19

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Why These Related Problems?

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