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Finding the Fourth Proportional to 413,376.20, 620,064.30 and 203,424.20

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Solution

The fourth proportional to 413,376.20, 620,064.30 and 203,424.20 is: 305,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,376.20 : 620,064.30 = 203,424.20 : x
  2. Step 2: Convert to fraction form
    413,376.20/620,064.30 = 203,424.20/x
  3. Step 3: Cross multiply
    413,376.20x = 620,064.30 × 203,424.20
  4. Step 4: Simplify right side
    413,376.20x = 126,136,084,176.06
  5. Step 5: Solve for x
    x = 126,136,084,176.06/413,376.20
  6. Step 6: Final answer
    x = 305,136.30

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