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Finding the Fourth Proportional to 414,229.42, 571,639.89 and 230,470.66

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Solution

The fourth proportional to 414,229.42, 571,639.89 and 230,470.66 is: 318,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,229.42 : 571,639.89 = 230,470.66 : x
  2. Step 2: Convert to fraction form
    414,229.42/571,639.89 = 230,470.66/x
  3. Step 3: Cross multiply
    414,229.42x = 571,639.89 × 230,470.66
  4. Step 4: Simplify right side
    414,229.42x = 131,746,222,730.63
  5. Step 5: Solve for x
    x = 131,746,222,730.63/414,229.42
  6. Step 6: Final answer
    x = 318,051.34

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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.