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Finding the Fourth Proportional to 406,494.96, 609,742.68 and 169,708.56

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Solution

The fourth proportional to 406,494.96, 609,742.68 and 169,708.56 is: 254,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,494.96 : 609,742.68 = 169,708.56 : x
  2. Step 2: Convert to fraction form
    406,494.96/609,742.68 = 169,708.56/x
  3. Step 3: Cross multiply
    406,494.96x = 609,742.68 × 169,708.56
  4. Step 4: Simplify right side
    406,494.96x = 103,478,552,193.34
  5. Step 5: Solve for x
    x = 103,478,552,193.34/406,494.96
  6. Step 6: Final answer
    x = 254,562.94

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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.