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Finding the Fourth Proportional to 365,022.72, 503,677.44 and 214,168.32

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Solution

The fourth proportional to 365,022.72, 503,677.44 and 214,168.32 is: 295,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,022.72 : 503,677.44 = 214,168.32 : x
  2. Step 2: Convert to fraction form
    365,022.72/503,677.44 = 214,168.32/x
  3. Step 3: Cross multiply
    365,022.72x = 503,677.44 × 214,168.32
  4. Step 4: Simplify right side
    365,022.72x = 107,871,751,146.70
  5. Step 5: Solve for x
    x = 107,871,751,146.70/365,022.72
  6. Step 6: Final answer
    x = 295,520.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.