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Finding the Fourth Proportional to 406,708.20, 610,062.30 and 196,756.20

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Solution

The fourth proportional to 406,708.20, 610,062.30 and 196,756.20 is: 295,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,708.20 : 610,062.30 = 196,756.20 : x
  2. Step 2: Convert to fraction form
    406,708.20/610,062.30 = 196,756.20/x
  3. Step 3: Cross multiply
    406,708.20x = 610,062.30 × 196,756.20
  4. Step 4: Simplify right side
    406,708.20x = 120,033,539,911.26
  5. Step 5: Solve for x
    x = 120,033,539,911.26/406,708.20
  6. Step 6: Final answer
    x = 295,134.30

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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.