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Finding the Fourth Proportional to 295,029.80, 442,016.70 and 179,413.80

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Solution

The fourth proportional to 295,029.80, 442,016.70 and 179,413.80 is: 268,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,029.80 : 442,016.70 = 179,413.80 : x
  2. Step 2: Convert to fraction form
    295,029.80/442,016.70 = 179,413.80/x
  3. Step 3: Cross multiply
    295,029.80x = 442,016.70 × 179,413.80
  4. Step 4: Simplify right side
    295,029.80x = 79,303,895,810.46
  5. Step 5: Solve for x
    x = 79,303,895,810.46/295,029.80
  6. Step 6: Final answer
    x = 268,799.61

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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.