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Finding the Fourth Proportional to 406,984.97, 610,506.72 and 107,462.57

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Solution

The fourth proportional to 406,984.97, 610,506.72 and 107,462.57 is: 161,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,984.97 : 610,506.72 = 107,462.57 : x
  2. Step 2: Convert to fraction form
    406,984.97/610,506.72 = 107,462.57/x
  3. Step 3: Cross multiply
    406,984.97x = 610,506.72 × 107,462.57
  4. Step 4: Simplify right side
    406,984.97x = 65,606,618,080.94
  5. Step 5: Solve for x
    x = 65,606,618,080.94/406,984.97
  6. Step 6: Final answer
    x = 161,201.57

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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.