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Finding the Fourth Proportional to 406,421.60, 610,025.88 and 196,207.04

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Solution

The fourth proportional to 406,421.60, 610,025.88 and 196,207.04 is: 294,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,421.60 : 610,025.88 = 196,207.04 : x
  2. Step 2: Convert to fraction form
    406,421.60/610,025.88 = 196,207.04/x
  3. Step 3: Cross multiply
    406,421.60x = 610,025.88 × 196,207.04
  4. Step 4: Simplify right side
    406,421.60x = 119,691,372,238.20
  5. Step 5: Solve for x
    x = 119,691,372,238.20/406,421.60
  6. Step 6: Final answer
    x = 294,500.52

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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.