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Finding the Fourth Proportional to 446,833.78, 670,244.82 and 109,877.34

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Solution

The fourth proportional to 446,833.78, 670,244.82 and 109,877.34 is: 164,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,833.78 : 670,244.82 = 109,877.34 : x
  2. Step 2: Convert to fraction form
    446,833.78/670,244.82 = 109,877.34/x
  3. Step 3: Cross multiply
    446,833.78x = 670,244.82 × 109,877.34
  4. Step 4: Simplify right side
    446,833.78x = 73,644,717,970.38
  5. Step 5: Solve for x
    x = 73,644,717,970.38/446,833.78
  6. Step 6: Final answer
    x = 164,814.57

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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.