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Finding the Fourth Proportional to 406,521.27, 609,683.85 and 169,735.59

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Solution

The fourth proportional to 406,521.27, 609,683.85 and 169,735.59 is: 254,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,521.27 : 609,683.85 = 169,735.59 : x
  2. Step 2: Convert to fraction form
    406,521.27/609,683.85 = 169,735.59/x
  3. Step 3: Cross multiply
    406,521.27x = 609,683.85 × 169,735.59
  4. Step 4: Simplify right side
    406,521.27x = 103,485,047,993.22
  5. Step 5: Solve for x
    x = 103,485,047,993.22/406,521.27
  6. Step 6: Final answer
    x = 254,562.44

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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.