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Finding the Fourth Proportional to 414,298.62, 571,646.34 and 242,183.34

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Solution

The fourth proportional to 414,298.62, 571,646.34 and 242,183.34 is: 334,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,298.62 : 571,646.34 = 242,183.34 : x
  2. Step 2: Convert to fraction form
    414,298.62/571,646.34 = 242,183.34/x
  3. Step 3: Cross multiply
    414,298.62x = 571,646.34 × 242,183.34
  4. Step 4: Simplify right side
    414,298.62x = 138,443,219,919.98
  5. Step 5: Solve for x
    x = 138,443,219,919.98/414,298.62
  6. Step 6: Final answer
    x = 334,162.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.