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Finding the Fourth Proportional to 413,310.08, 620,029.92 and 176,654

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Solution

The fourth proportional to 413,310.08, 620,029.92 and 176,654 is: 265,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,310.08 : 620,029.92 = 176,654 : x
  2. Step 2: Convert to fraction form
    413,310.08/620,029.92 = 176,654/x
  3. Step 3: Cross multiply
    413,310.08x = 620,029.92 × 176,654
  4. Step 4: Simplify right side
    413,310.08x = 109,530,765,487.68
  5. Step 5: Solve for x
    x = 109,530,765,487.68/413,310.08
  6. Step 6: Final answer
    x = 265,008.70

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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.