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Finding the Fourth Proportional to 561,455.57, 841,933.16 and 162,001.44

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Solution

The fourth proportional to 561,455.57, 841,933.16 and 162,001.44 is: 242,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,455.57 : 841,933.16 = 162,001.44 : x
  2. Step 2: Convert to fraction form
    561,455.57/841,933.16 = 162,001.44/x
  3. Step 3: Cross multiply
    561,455.57x = 841,933.16 × 162,001.44
  4. Step 4: Simplify right side
    561,455.57x = 136,394,383,493.74
  5. Step 5: Solve for x
    x = 136,394,383,493.74/561,455.57
  6. Step 6: Final answer
    x = 242,929.97

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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.