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Finding the Fourth Proportional to 378,324.32, 522,074.22 and 206,238.76

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Solution

The fourth proportional to 378,324.32, 522,074.22 and 206,238.76 is: 284,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,324.32 : 522,074.22 = 206,238.76 : x
  2. Step 2: Convert to fraction form
    378,324.32/522,074.22 = 206,238.76/x
  3. Step 3: Cross multiply
    378,324.32x = 522,074.22 × 206,238.76
  4. Step 4: Simplify right side
    378,324.32x = 107,671,939,760.77
  5. Step 5: Solve for x
    x = 107,671,939,760.77/378,324.32
  6. Step 6: Final answer
    x = 284,602.22

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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.