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Finding the Fourth Proportional to 406,544.15, 610,374.81 and 206,998.62

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Solution

The fourth proportional to 406,544.15, 610,374.81 and 206,998.62 is: 310,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,544.15 : 610,374.81 = 206,998.62 : x
  2. Step 2: Convert to fraction form
    406,544.15/610,374.81 = 206,998.62/x
  3. Step 3: Cross multiply
    406,544.15x = 610,374.81 × 206,998.62
  4. Step 4: Simplify right side
    406,544.15x = 126,346,743,352.76
  5. Step 5: Solve for x
    x = 126,346,743,352.76/406,544.15
  6. Step 6: Final answer
    x = 310,782.35

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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.