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Finding the Fourth Proportional to 367,420.20, 507,000.72 and 206,292.96

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Solution

The fourth proportional to 367,420.20, 507,000.72 and 206,292.96 is: 284,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,420.20 : 507,000.72 = 206,292.96 : x
  2. Step 2: Convert to fraction form
    367,420.20/507,000.72 = 206,292.96/x
  3. Step 3: Cross multiply
    367,420.20x = 507,000.72 × 206,292.96
  4. Step 4: Simplify right side
    367,420.20x = 104,590,679,250.93
  5. Step 5: Solve for x
    x = 104,590,679,250.93/367,420.20
  6. Step 6: Final answer
    x = 284,662.30

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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.