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Finding the Fourth Proportional to 414,431.30, 571,705.84 and 242,236.76

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Solution

The fourth proportional to 414,431.30, 571,705.84 and 242,236.76 is: 334,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,431.30 : 571,705.84 = 242,236.76 : x
  2. Step 2: Convert to fraction form
    414,431.30/571,705.84 = 242,236.76/x
  3. Step 3: Cross multiply
    414,431.30x = 571,705.84 × 242,236.76
  4. Step 4: Simplify right side
    414,431.30x = 138,488,173,158.69
  5. Step 5: Solve for x
    x = 138,488,173,158.69/414,431.30
  6. Step 6: Final answer
    x = 334,164.37

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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.