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Finding the Fourth Proportional to 406,066.85, 609,100.28 and 195,726.05

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Solution

The fourth proportional to 406,066.85, 609,100.28 and 195,726.05 is: 293,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,066.85 : 609,100.28 = 195,726.05 : x
  2. Step 2: Convert to fraction form
    406,066.85/609,100.28 = 195,726.05/x
  3. Step 3: Cross multiply
    406,066.85x = 609,100.28 × 195,726.05
  4. Step 4: Simplify right side
    406,066.85x = 119,216,790,879.66
  5. Step 5: Solve for x
    x = 119,216,790,879.66/406,066.85
  6. Step 6: Final answer
    x = 293,589.08

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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.