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Finding the Fourth Proportional to 269,413.40, 403,595.22 and 163,970.84

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Solution

The fourth proportional to 269,413.40, 403,595.22 and 163,970.84 is: 245,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,413.40 : 403,595.22 = 163,970.84 : x
  2. Step 2: Convert to fraction form
    269,413.40/403,595.22 = 163,970.84/x
  3. Step 3: Cross multiply
    269,413.40x = 403,595.22 × 163,970.84
  4. Step 4: Simplify right side
    269,413.40x = 66,177,847,243.38
  5. Step 5: Solve for x
    x = 66,177,847,243.38/269,413.40
  6. Step 6: Final answer
    x = 245,636.81

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1.5x scale

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.