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Finding the Fourth Proportional to 414,426.22, 571,907.34 and 233,138.28

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Solution

The fourth proportional to 414,426.22, 571,907.34 and 233,138.28 is: 321,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,426.22 : 571,907.34 = 233,138.28 : x
  2. Step 2: Convert to fraction form
    414,426.22/571,907.34 = 233,138.28/x
  3. Step 3: Cross multiply
    414,426.22x = 571,907.34 × 233,138.28
  4. Step 4: Simplify right side
    414,426.22x = 133,333,493,566.98
  5. Step 5: Solve for x
    x = 133,333,493,566.98/414,426.22
  6. Step 6: Final answer
    x = 321,730.35

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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.