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Finding the Fourth Proportional to 406,434.41, 610,029.88 and 206,904.17

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Solution

The fourth proportional to 406,434.41, 610,029.88 and 206,904.17 is: 310,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,434.41 : 610,029.88 = 206,904.17 : x
  2. Step 2: Convert to fraction form
    406,434.41/610,029.88 = 206,904.17/x
  3. Step 3: Cross multiply
    406,434.41x = 610,029.88 × 206,904.17
  4. Step 4: Simplify right side
    406,434.41x = 126,217,728,168.25
  5. Step 5: Solve for x
    x = 126,217,728,168.25/406,434.41
  6. Step 6: Final answer
    x = 310,548.83

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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.