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Finding the Fourth Proportional to 413,710.11, 620,600.79 and 114,190.74

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Solution

The fourth proportional to 413,710.11, 620,600.79 and 114,190.74 is: 171,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,710.11 : 620,600.79 = 114,190.74 : x
  2. Step 2: Convert to fraction form
    413,710.11/620,600.79 = 114,190.74/x
  3. Step 3: Cross multiply
    413,710.11x = 620,600.79 × 114,190.74
  4. Step 4: Simplify right side
    413,710.11x = 70,866,863,454.68
  5. Step 5: Solve for x
    x = 70,866,863,454.68/413,710.11
  6. Step 6: Final answer
    x = 171,295.94

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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.