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Finding the Fourth Proportional to 413,728.80, 620,580.85 and 114,227.66

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Solution

The fourth proportional to 413,728.80, 620,580.85 and 114,227.66 is: 171,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,728.80 : 620,580.85 = 114,227.66 : x
  2. Step 2: Convert to fraction form
    413,728.80/620,580.85 = 114,227.66/x
  3. Step 3: Cross multiply
    413,728.80x = 620,580.85 × 114,227.66
  4. Step 4: Simplify right side
    413,728.80x = 70,887,494,947.84
  5. Step 5: Solve for x
    x = 70,887,494,947.84/413,728.80
  6. Step 6: Final answer
    x = 171,338.07

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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.