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Finding the Fourth Proportional to 414,083.26, 571,455.21 and 232,852.24

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Solution

The fourth proportional to 414,083.26, 571,455.21 and 232,852.24 is: 321,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,083.26 : 571,455.21 = 232,852.24 : x
  2. Step 2: Convert to fraction form
    414,083.26/571,455.21 = 232,852.24/x
  3. Step 3: Cross multiply
    414,083.26x = 571,455.21 × 232,852.24
  4. Step 4: Simplify right side
    414,083.26x = 133,064,625,708.17
  5. Step 5: Solve for x
    x = 133,064,625,708.17/414,083.26
  6. Step 6: Final answer
    x = 321,347.51

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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.