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Finding the Fourth Proportional to 541,664.09, 747,487.23 and 299,941.50

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Solution

The fourth proportional to 541,664.09, 747,487.23 and 299,941.50 is: 413,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,664.09 : 747,487.23 = 299,941.50 : x
  2. Step 2: Convert to fraction form
    541,664.09/747,487.23 = 299,941.50/x
  3. Step 3: Cross multiply
    541,664.09x = 747,487.23 × 299,941.50
  4. Step 4: Simplify right side
    541,664.09x = 224,202,440,997.05
  5. Step 5: Solve for x
    x = 224,202,440,997.05/541,664.09
  6. Step 6: Final answer
    x = 413,914.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.