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Finding the Fourth Proportional to 368,065.62, 507,932.73 and 206,919.27

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Solution

The fourth proportional to 368,065.62, 507,932.73 and 206,919.27 is: 285,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,065.62 : 507,932.73 = 206,919.27 : x
  2. Step 2: Convert to fraction form
    368,065.62/507,932.73 = 206,919.27/x
  3. Step 3: Cross multiply
    368,065.62x = 507,932.73 × 206,919.27
  4. Step 4: Simplify right side
    368,065.62x = 105,101,069,700.71
  5. Step 5: Solve for x
    x = 105,101,069,700.71/368,065.62
  6. Step 6: Final answer
    x = 285,549.82

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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.