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Finding the Fourth Proportional to 414,259.39, 571,627.73 and 230,454.53

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Solution

The fourth proportional to 414,259.39, 571,627.73 and 230,454.53 is: 317,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,259.39 : 571,627.73 = 230,454.53 : x
  2. Step 2: Convert to fraction form
    414,259.39/571,627.73 = 230,454.53/x
  3. Step 3: Cross multiply
    414,259.39x = 571,627.73 × 230,454.53
  4. Step 4: Simplify right side
    414,259.39x = 131,734,199,713.72
  5. Step 5: Solve for x
    x = 131,734,199,713.72/414,259.39
  6. Step 6: Final answer
    x = 317,999.31

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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.