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Finding the Fourth Proportional to 414,071.20, 571,404.96 and 232,790.74

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Solution

The fourth proportional to 414,071.20, 571,404.96 and 232,790.74 is: 321,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,071.20 : 571,404.96 = 232,790.74 : x
  2. Step 2: Convert to fraction form
    414,071.20/571,404.96 = 232,790.74/x
  3. Step 3: Cross multiply
    414,071.20x = 571,404.96 × 232,790.74
  4. Step 4: Simplify right side
    414,071.20x = 133,017,783,478.07
  5. Step 5: Solve for x
    x = 133,017,783,478.07/414,071.20
  6. Step 6: Final answer
    x = 321,243.75

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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.