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Finding the Fourth Proportional to 274,371.72, 411,024.98 and 202,193.66

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Solution

The fourth proportional to 274,371.72, 411,024.98 and 202,193.66 is: 302,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,371.72 : 411,024.98 = 202,193.66 : x
  2. Step 2: Convert to fraction form
    274,371.72/411,024.98 = 202,193.66/x
  3. Step 3: Cross multiply
    274,371.72x = 411,024.98 × 202,193.66
  4. Step 4: Simplify right side
    274,371.72x = 83,106,645,057.63
  5. Step 5: Solve for x
    x = 83,106,645,057.63/274,371.72
  6. Step 6: Final answer
    x = 302,898.00

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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.