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Finding the Fourth Proportional to 298,250.16, 447,473.64 and 120,906.32

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Solution

The fourth proportional to 298,250.16, 447,473.64 and 120,906.32 is: 181,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,250.16 : 447,473.64 = 120,906.32 : x
  2. Step 2: Convert to fraction form
    298,250.16/447,473.64 = 120,906.32/x
  3. Step 3: Cross multiply
    298,250.16x = 447,473.64 × 120,906.32
  4. Step 4: Simplify right side
    298,250.16x = 54,102,391,109.40
  5. Step 5: Solve for x
    x = 54,102,391,109.40/298,250.16
  6. Step 6: Final answer
    x = 181,399.37

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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.