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Finding the Fourth Proportional to 406,967.10, 610,029.45 and 182,435.10

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Solution

The fourth proportional to 406,967.10, 610,029.45 and 182,435.10 is: 273,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,967.10 : 610,029.45 = 182,435.10 : x
  2. Step 2: Convert to fraction form
    406,967.10/610,029.45 = 182,435.10/x
  3. Step 3: Cross multiply
    406,967.10x = 610,029.45 × 182,435.10
  4. Step 4: Simplify right side
    406,967.10x = 111,290,783,713.70
  5. Step 5: Solve for x
    x = 111,290,783,713.70/406,967.10
  6. Step 6: Final answer
    x = 273,463.83

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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.