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Finding the Fourth Proportional to 654,498.24, 981,748.64 and 181,185

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Solution

The fourth proportional to 654,498.24, 981,748.64 and 181,185 is: 271,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,498.24 : 981,748.64 = 181,185 : x
  2. Step 2: Convert to fraction form
    654,498.24/981,748.64 = 181,185/x
  3. Step 3: Cross multiply
    654,498.24x = 981,748.64 × 181,185
  4. Step 4: Simplify right side
    654,498.24x = 177,878,127,338.40
  5. Step 5: Solve for x
    x = 177,878,127,338.40/654,498.24
  6. Step 6: Final answer
    x = 271,777.85

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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.