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Finding the Fourth Proportional to 367,784.15, 507,542.58 and 206,639.11

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Solution

The fourth proportional to 367,784.15, 507,542.58 and 206,639.11 is: 285,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,784.15 : 507,542.58 = 206,639.11 : x
  2. Step 2: Convert to fraction form
    367,784.15/507,542.58 = 206,639.11/x
  3. Step 3: Cross multiply
    367,784.15x = 507,542.58 × 206,639.11
  4. Step 4: Simplify right side
    367,784.15x = 104,878,143,447.40
  5. Step 5: Solve for x
    x = 104,878,143,447.40/367,784.15
  6. Step 6: Final answer
    x = 285,162.22

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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.