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Finding the Fourth Proportional to 406,904.40, 610,414.20 and 126,392.40

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Solution

The fourth proportional to 406,904.40, 610,414.20 and 126,392.40 is: 189,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,904.40 : 610,414.20 = 126,392.40 : x
  2. Step 2: Convert to fraction form
    406,904.40/610,414.20 = 126,392.40/x
  3. Step 3: Cross multiply
    406,904.40x = 610,414.20 × 126,392.40
  4. Step 4: Simplify right side
    406,904.40x = 77,151,715,732.08
  5. Step 5: Solve for x
    x = 77,151,715,732.08/406,904.40
  6. Step 6: Final answer
    x = 189,606.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.