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Finding the Fourth Proportional to 406,743.42, 610,127.97 and 140,519.10

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Solution

The fourth proportional to 406,743.42, 610,127.97 and 140,519.10 is: 210,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,743.42 : 610,127.97 = 140,519.10 : x
  2. Step 2: Convert to fraction form
    406,743.42/610,127.97 = 140,519.10/x
  3. Step 3: Cross multiply
    406,743.42x = 610,127.97 × 140,519.10
  4. Step 4: Simplify right side
    406,743.42x = 85,734,633,229.23
  5. Step 5: Solve for x
    x = 85,734,633,229.23/406,743.42
  6. Step 6: Final answer
    x = 210,783.09

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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.