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Finding the Fourth Proportional to 467,965.54, 702,021.75 and 201,801.70

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Solution

The fourth proportional to 467,965.54, 702,021.75 and 201,801.70 is: 302,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,965.54 : 702,021.75 = 201,801.70 : x
  2. Step 2: Convert to fraction form
    467,965.54/702,021.75 = 201,801.70/x
  3. Step 3: Cross multiply
    467,965.54x = 702,021.75 × 201,801.70
  4. Step 4: Simplify right side
    467,965.54x = 141,669,182,586.98
  5. Step 5: Solve for x
    x = 141,669,182,586.98/467,965.54
  6. Step 6: Final answer
    x = 302,734.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.