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Finding the Fourth Proportional to 335,686.05, 463,256.73 and 206,698.92

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Solution

The fourth proportional to 335,686.05, 463,256.73 and 206,698.92 is: 285,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,686.05 : 463,256.73 = 206,698.92 : x
  2. Step 2: Convert to fraction form
    335,686.05/463,256.73 = 206,698.92/x
  3. Step 3: Cross multiply
    335,686.05x = 463,256.73 × 206,698.92
  4. Step 4: Simplify right side
    335,686.05x = 95,754,665,773.73
  5. Step 5: Solve for x
    x = 95,754,665,773.73/335,686.05
  6. Step 6: Final answer
    x = 285,250.66

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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.