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Finding the Fourth Proportional to 413,910.57, 620,346.69 and 176,975.13

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Solution

The fourth proportional to 413,910.57, 620,346.69 and 176,975.13 is: 265,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,910.57 : 620,346.69 = 176,975.13 : x
  2. Step 2: Convert to fraction form
    413,910.57/620,346.69 = 176,975.13/x
  3. Step 3: Cross multiply
    413,910.57x = 620,346.69 × 176,975.13
  4. Step 4: Simplify right side
    413,910.57x = 109,785,936,107.82
  5. Step 5: Solve for x
    x = 109,785,936,107.82/413,910.57
  6. Step 6: Final answer
    x = 265,240.72

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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.