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Finding the Fourth Proportional to 406,859.54, 610,219.64 and 107,343.20

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Solution

The fourth proportional to 406,859.54, 610,219.64 and 107,343.20 is: 160,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,859.54 : 610,219.64 = 107,343.20 : x
  2. Step 2: Convert to fraction form
    406,859.54/610,219.64 = 107,343.20/x
  3. Step 3: Cross multiply
    406,859.54x = 610,219.64 × 107,343.20
  4. Step 4: Simplify right side
    406,859.54x = 65,502,928,860.45
  5. Step 5: Solve for x
    x = 65,502,928,860.45/406,859.54
  6. Step 6: Final answer
    x = 160,996.42

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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.