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Finding the Fourth Proportional to 467,912.80, 702,112.20 and 218,594.80

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Solution

The fourth proportional to 467,912.80, 702,112.20 and 218,594.80 is: 328,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,912.80 : 702,112.20 = 218,594.80 : x
  2. Step 2: Convert to fraction form
    467,912.80/702,112.20 = 218,594.80/x
  3. Step 3: Cross multiply
    467,912.80x = 702,112.20 × 218,594.80
  4. Step 4: Simplify right side
    467,912.80x = 153,478,075,936.56
  5. Step 5: Solve for x
    x = 153,478,075,936.56/467,912.80
  6. Step 6: Final answer
    x = 328,005.72

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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.