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Finding the Fourth Proportional to 320,426.40, 480,639.60 and 133,413.60

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Solution

The fourth proportional to 320,426.40, 480,639.60 and 133,413.60 is: 200,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,426.40 : 480,639.60 = 133,413.60 : x
  2. Step 2: Convert to fraction form
    320,426.40/480,639.60 = 133,413.60/x
  3. Step 3: Cross multiply
    320,426.40x = 480,639.60 × 133,413.60
  4. Step 4: Simplify right side
    320,426.40x = 64,123,859,338.56
  5. Step 5: Solve for x
    x = 64,123,859,338.56/320,426.40
  6. Step 6: Final answer
    x = 200,120.40

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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.