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Finding the Fourth Proportional to 367,427.02, 507,010.16 and 206,299.66

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Solution

The fourth proportional to 367,427.02, 507,010.16 and 206,299.66 is: 284,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,427.02 : 507,010.16 = 206,299.66 : x
  2. Step 2: Convert to fraction form
    367,427.02/507,010.16 = 206,299.66/x
  3. Step 3: Cross multiply
    367,427.02x = 507,010.16 × 206,299.66
  4. Step 4: Simplify right side
    367,427.02x = 104,596,023,624.55
  5. Step 5: Solve for x
    x = 104,596,023,624.55/367,427.02
  6. Step 6: Final answer
    x = 284,671.56

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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.