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Finding the Fourth Proportional to 299,191.68, 448,413.03 and 149,473.71

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Solution

The fourth proportional to 299,191.68, 448,413.03 and 149,473.71 is: 224,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,191.68 : 448,413.03 = 149,473.71 : x
  2. Step 2: Convert to fraction form
    299,191.68/448,413.03 = 149,473.71/x
  3. Step 3: Cross multiply
    299,191.68x = 448,413.03 × 149,473.71
  4. Step 4: Simplify right side
    299,191.68x = 67,025,959,206.44
  5. Step 5: Solve for x
    x = 67,025,959,206.44/299,191.68
  6. Step 6: Final answer
    x = 224,023.47

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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.