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Finding the Fourth Proportional to 413,722.89, 620,571.93 and 114,221.74

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Solution

The fourth proportional to 413,722.89, 620,571.93 and 114,221.74 is: 171,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,722.89 : 620,571.93 = 114,221.74 : x
  2. Step 2: Convert to fraction form
    413,722.89/620,571.93 = 114,221.74/x
  3. Step 3: Cross multiply
    413,722.89x = 620,571.93 × 114,221.74
  4. Step 4: Simplify right side
    413,722.89x = 70,882,805,639.76
  5. Step 5: Solve for x
    x = 70,882,805,639.76/413,722.89
  6. Step 6: Final answer
    x = 171,329.19

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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.