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Finding the Fourth Proportional to 431,737.40, 647,606.10 and 274,273.40

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Solution

The fourth proportional to 431,737.40, 647,606.10 and 274,273.40 is: 411,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,737.40 : 647,606.10 = 274,273.40 : x
  2. Step 2: Convert to fraction form
    431,737.40/647,606.10 = 274,273.40/x
  3. Step 3: Cross multiply
    431,737.40x = 647,606.10 × 274,273.40
  4. Step 4: Simplify right side
    431,737.40x = 177,621,126,907.74
  5. Step 5: Solve for x
    x = 177,621,126,907.74/431,737.40
  6. Step 6: Final answer
    x = 411,410.10

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Why These Related Problems?

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