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Finding the Fourth Proportional to 406,742.92, 610,127.22 and 140,518.60

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Solution

The fourth proportional to 406,742.92, 610,127.22 and 140,518.60 is: 210,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,742.92 : 610,127.22 = 140,518.60 : x
  2. Step 2: Convert to fraction form
    406,742.92/610,127.22 = 140,518.60/x
  3. Step 3: Cross multiply
    406,742.92x = 610,127.22 × 140,518.60
  4. Step 4: Simplify right side
    406,742.92x = 85,734,222,776.29
  5. Step 5: Solve for x
    x = 85,734,222,776.29/406,742.92
  6. Step 6: Final answer
    x = 210,782.34

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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.