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Finding the Fourth Proportional to 299,673, 413,548.76 and 165,537

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Solution

The fourth proportional to 299,673, 413,548.76 and 165,537 is: 228,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673 : 413,548.76 = 165,537 : x
  2. Step 2: Convert to fraction form
    299,673/413,548.76 = 165,537/x
  3. Step 3: Cross multiply
    299,673x = 413,548.76 × 165,537
  4. Step 4: Simplify right side
    299,673x = 68,457,621,084.12
  5. Step 5: Solve for x
    x = 68,457,621,084.12/299,673
  6. Step 6: Final answer
    x = 228,441.07

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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.