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Finding the Fourth Proportional to 406,001.78, 560,308.46 and 233,916.62

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Solution

The fourth proportional to 406,001.78, 560,308.46 and 233,916.62 is: 322,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,001.78 : 560,308.46 = 233,916.62 : x
  2. Step 2: Convert to fraction form
    406,001.78/560,308.46 = 233,916.62/x
  3. Step 3: Cross multiply
    406,001.78x = 560,308.46 × 233,916.62
  4. Step 4: Simplify right side
    406,001.78x = 131,065,458,903.85
  5. Step 5: Solve for x
    x = 131,065,458,903.85/406,001.78
  6. Step 6: Final answer
    x = 322,819.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.