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Finding the Fourth Proportional to 414,246.72, 571,681.28 and 233,015.68

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Solution

The fourth proportional to 414,246.72, 571,681.28 and 233,015.68 is: 321,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,246.72 : 571,681.28 = 233,015.68 : x
  2. Step 2: Convert to fraction form
    414,246.72/571,681.28 = 233,015.68/x
  3. Step 3: Cross multiply
    414,246.72x = 571,681.28 × 233,015.68
  4. Step 4: Simplify right side
    414,246.72x = 133,210,702,202.47
  5. Step 5: Solve for x
    x = 133,210,702,202.47/414,246.72
  6. Step 6: Final answer
    x = 321,573.34

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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.