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Finding the Fourth Proportional to 342,413.70, 513,620.55 and 202,100.10

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Solution

The fourth proportional to 342,413.70, 513,620.55 and 202,100.10 is: 303,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,413.70 : 513,620.55 = 202,100.10 : x
  2. Step 2: Convert to fraction form
    342,413.70/513,620.55 = 202,100.10/x
  3. Step 3: Cross multiply
    342,413.70x = 513,620.55 × 202,100.10
  4. Step 4: Simplify right side
    342,413.70x = 103,802,764,517.06
  5. Step 5: Solve for x
    x = 103,802,764,517.06/342,413.70
  6. Step 6: Final answer
    x = 303,150.15

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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.