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Finding the Fourth Proportional to 413,910.07, 620,345.94 and 176,974.63

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Solution

The fourth proportional to 413,910.07, 620,345.94 and 176,974.63 is: 265,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,910.07 : 620,345.94 = 176,974.63 : x
  2. Step 2: Convert to fraction form
    413,910.07/620,345.94 = 176,974.63/x
  3. Step 3: Cross multiply
    413,910.07x = 620,345.94 × 176,974.63
  4. Step 4: Simplify right side
    413,910.07x = 109,785,493,203.50
  5. Step 5: Solve for x
    x = 109,785,493,203.50/413,910.07
  6. Step 6: Final answer
    x = 265,239.97

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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.