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Finding the Fourth Proportional to 307,061.47, 460,592.21 and 119,941.75

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Solution

The fourth proportional to 307,061.47, 460,592.21 and 119,941.75 is: 179,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,061.47 : 460,592.21 = 119,941.75 : x
  2. Step 2: Convert to fraction form
    307,061.47/460,592.21 = 119,941.75/x
  3. Step 3: Cross multiply
    307,061.47x = 460,592.21 × 119,941.75
  4. Step 4: Simplify right side
    307,061.47x = 55,244,235,703.77
  5. Step 5: Solve for x
    x = 55,244,235,703.77/307,061.47
  6. Step 6: Final answer
    x = 179,912.63

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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.