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Finding the Fourth Proportional to 406,958.20, 610,437.30 and 361,857.40

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Solution

The fourth proportional to 406,958.20, 610,437.30 and 361,857.40 is: 542,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,958.20 : 610,437.30 = 361,857.40 : x
  2. Step 2: Convert to fraction form
    406,958.20/610,437.30 = 361,857.40/x
  3. Step 3: Cross multiply
    406,958.20x = 610,437.30 × 361,857.40
  4. Step 4: Simplify right side
    406,958.20x = 220,891,254,241.02
  5. Step 5: Solve for x
    x = 220,891,254,241.02/406,958.20
  6. Step 6: Final answer
    x = 542,786.10

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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.