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Finding the Fourth Proportional to 307,551.10, 460,937.85 and 274,114.30

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Solution

The fourth proportional to 307,551.10, 460,937.85 and 274,114.30 is: 410,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,551.10 : 460,937.85 = 274,114.30 : x
  2. Step 2: Convert to fraction form
    307,551.10/460,937.85 = 274,114.30/x
  3. Step 3: Cross multiply
    307,551.10x = 460,937.85 × 274,114.30
  4. Step 4: Simplify right side
    307,551.10x = 126,349,656,096.26
  5. Step 5: Solve for x
    x = 126,349,656,096.26/307,551.10
  6. Step 6: Final answer
    x = 410,824.92

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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.