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Finding the Fourth Proportional to 299,413.65, 413,191.89 and 163,450.62

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Solution

The fourth proportional to 299,413.65, 413,191.89 and 163,450.62 is: 225,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,413.65 : 413,191.89 = 163,450.62 : x
  2. Step 2: Convert to fraction form
    299,413.65/413,191.89 = 163,450.62/x
  3. Step 3: Cross multiply
    299,413.65x = 413,191.89 × 163,450.62
  4. Step 4: Simplify right side
    299,413.65x = 67,536,470,599.47
  5. Step 5: Solve for x
    x = 67,536,470,599.47/299,413.65
  6. Step 6: Final answer
    x = 225,562.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.