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Finding the Fourth Proportional to 431,738.10, 647,607.15 and 274,274.10

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Solution

The fourth proportional to 431,738.10, 647,607.15 and 274,274.10 is: 411,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,738.10 : 647,607.15 = 274,274.10 : x
  2. Step 2: Convert to fraction form
    431,738.10/647,607.15 = 274,274.10/x
  3. Step 3: Cross multiply
    431,738.10x = 647,607.15 × 274,274.10
  4. Step 4: Simplify right side
    431,738.10x = 177,621,868,219.82
  5. Step 5: Solve for x
    x = 177,621,868,219.82/431,738.10
  6. Step 6: Final answer
    x = 411,411.15

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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.