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Finding the Fourth Proportional to 406,136.58, 609,763.92 and 206,592

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Solution

The fourth proportional to 406,136.58, 609,763.92 and 206,592 is: 310,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,136.58 : 609,763.92 = 206,592 : x
  2. Step 2: Convert to fraction form
    406,136.58/609,763.92 = 206,592/x
  3. Step 3: Cross multiply
    406,136.58x = 609,763.92 × 206,592
  4. Step 4: Simplify right side
    406,136.58x = 125,972,347,760.64
  5. Step 5: Solve for x
    x = 125,972,347,760.64/406,136.58
  6. Step 6: Final answer
    x = 310,172.38

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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.