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Finding the Fourth Proportional to 367,703.22, 507,403.16 and 206,585.10

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Solution

The fourth proportional to 367,703.22, 507,403.16 and 206,585.10 is: 285,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,703.22 : 507,403.16 = 206,585.10 : x
  2. Step 2: Convert to fraction form
    367,703.22/507,403.16 = 206,585.10/x
  3. Step 3: Cross multiply
    367,703.22x = 507,403.16 × 206,585.10
  4. Step 4: Simplify right side
    367,703.22x = 104,821,932,548.92
  5. Step 5: Solve for x
    x = 104,821,932,548.92/367,703.22
  6. Step 6: Final answer
    x = 285,072.11

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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.