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Finding the Fourth Proportional to 396,196.26, 594,381.86 and 146,878.26

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Solution

The fourth proportional to 396,196.26, 594,381.86 and 146,878.26 is: 220,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,196.26 : 594,381.86 = 146,878.26 : x
  2. Step 2: Convert to fraction form
    396,196.26/594,381.86 = 146,878.26/x
  3. Step 3: Cross multiply
    396,196.26x = 594,381.86 × 146,878.26
  4. Step 4: Simplify right side
    396,196.26x = 87,301,773,372.36
  5. Step 5: Solve for x
    x = 87,301,773,372.36/396,196.26
  6. Step 6: Final answer
    x = 220,349.82

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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.