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Finding the Fourth Proportional to 367,633.44, 507,298.32 and 206,451.84

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Solution

The fourth proportional to 367,633.44, 507,298.32 and 206,451.84 is: 284,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,633.44 : 507,298.32 = 206,451.84 : x
  2. Step 2: Convert to fraction form
    367,633.44/507,298.32 = 206,451.84/x
  3. Step 3: Cross multiply
    367,633.44x = 507,298.32 × 206,451.84
  4. Step 4: Simplify right side
    367,633.44x = 104,732,671,592.91
  5. Step 5: Solve for x
    x = 104,732,671,592.91/367,633.44
  6. Step 6: Final answer
    x = 284,883.42

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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.