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Finding the Fourth Proportional to 406,809.18, 610,186.41 and 140,573.34

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Solution

The fourth proportional to 406,809.18, 610,186.41 and 140,573.34 is: 210,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,809.18 : 610,186.41 = 140,573.34 : x
  2. Step 2: Convert to fraction form
    406,809.18/610,186.41 = 140,573.34/x
  3. Step 3: Cross multiply
    406,809.18x = 610,186.41 × 140,573.34
  4. Step 4: Simplify right side
    406,809.18x = 85,775,941,676.31
  5. Step 5: Solve for x
    x = 85,775,941,676.31/406,809.18
  6. Step 6: Final answer
    x = 210,850.56

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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.