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Finding the Fourth Proportional to 367,810.50, 507,593.40 and 206,665.04

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Solution

The fourth proportional to 367,810.50, 507,593.40 and 206,665.04 is: 285,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,810.50 : 507,593.40 = 206,665.04 : x
  2. Step 2: Convert to fraction form
    367,810.50/507,593.40 = 206,665.04/x
  3. Step 3: Cross multiply
    367,810.50x = 507,593.40 × 206,665.04
  4. Step 4: Simplify right side
    367,810.50x = 104,901,810,314.74
  5. Step 5: Solve for x
    x = 104,901,810,314.74/367,810.50
  6. Step 6: Final answer
    x = 285,206.13

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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.