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Finding the Fourth Proportional to 406,129.83, 609,753.78 and 206,585.25

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Solution

The fourth proportional to 406,129.83, 609,753.78 and 206,585.25 is: 310,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,129.83 : 609,753.78 = 206,585.25 : x
  2. Step 2: Convert to fraction form
    406,129.83/609,753.78 = 206,585.25/x
  3. Step 3: Cross multiply
    406,129.83x = 609,753.78 × 206,585.25
  4. Step 4: Simplify right side
    406,129.83x = 125,966,137,079.75
  5. Step 5: Solve for x
    x = 125,966,137,079.75/406,129.83
  6. Step 6: Final answer
    x = 310,162.24

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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.