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Finding the Fourth Proportional to 367,447.96, 507,039.06 and 206,320.60

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Solution

The fourth proportional to 367,447.96, 507,039.06 and 206,320.60 is: 284,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,447.96 : 507,039.06 = 206,320.60 : x
  2. Step 2: Convert to fraction form
    367,447.96/507,039.06 = 206,320.60/x
  3. Step 3: Cross multiply
    367,447.96x = 507,039.06 × 206,320.60
  4. Step 4: Simplify right side
    367,447.96x = 104,612,603,082.64
  5. Step 5: Solve for x
    x = 104,612,603,082.64/367,447.96
  6. Step 6: Final answer
    x = 284,700.46

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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.