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Finding the Fourth Proportional to 406,829.35, 610,102.41 and 166,874.14

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Solution

The fourth proportional to 406,829.35, 610,102.41 and 166,874.14 is: 250,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,829.35 : 610,102.41 = 166,874.14 : x
  2. Step 2: Convert to fraction form
    406,829.35/610,102.41 = 166,874.14/x
  3. Step 3: Cross multiply
    406,829.35x = 610,102.41 × 166,874.14
  4. Step 4: Simplify right side
    406,829.35x = 101,810,314,980.68
  5. Step 5: Solve for x
    x = 101,810,314,980.68/406,829.35
  6. Step 6: Final answer
    x = 250,253.12

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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.