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Finding the Fourth Proportional to 406,964.20, 610,446.30 and 361,863.40

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Solution

The fourth proportional to 406,964.20, 610,446.30 and 361,863.40 is: 542,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,964.20 : 610,446.30 = 361,863.40 : x
  2. Step 2: Convert to fraction form
    406,964.20/610,446.30 = 361,863.40/x
  3. Step 3: Cross multiply
    406,964.20x = 610,446.30 × 361,863.40
  4. Step 4: Simplify right side
    406,964.20x = 220,898,173,635.42
  5. Step 5: Solve for x
    x = 220,898,173,635.42/406,964.20
  6. Step 6: Final answer
    x = 542,795.10

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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.