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Finding the Fourth Proportional to 433,410.20, 649,856.10 and 223,458.20

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Solution

The fourth proportional to 433,410.20, 649,856.10 and 223,458.20 is: 335,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,410.20 : 649,856.10 = 223,458.20 : x
  2. Step 2: Convert to fraction form
    433,410.20/649,856.10 = 223,458.20/x
  3. Step 3: Cross multiply
    433,410.20x = 649,856.10 × 223,458.20
  4. Step 4: Simplify right side
    433,410.20x = 145,215,674,365.02
  5. Step 5: Solve for x
    x = 145,215,674,365.02/433,410.20
  6. Step 6: Final answer
    x = 335,053.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.