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Finding the Fourth Proportional to 367,433.56, 507,045.32 and 206,295.40

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Solution

The fourth proportional to 367,433.56, 507,045.32 and 206,295.40 is: 284,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,433.56 : 507,045.32 = 206,295.40 : x
  2. Step 2: Convert to fraction form
    367,433.56/507,045.32 = 206,295.40/x
  3. Step 3: Cross multiply
    367,433.56x = 507,045.32 × 206,295.40
  4. Step 4: Simplify right side
    367,433.56x = 104,601,117,107.53
  5. Step 5: Solve for x
    x = 104,601,117,107.53/367,433.56
  6. Step 6: Final answer
    x = 284,680.36

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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.