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Finding the Fourth Proportional to 340,059.36, 509,497.92 and 238,642.32

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Solution

The fourth proportional to 340,059.36, 509,497.92 and 238,642.32 is: 357,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,059.36 : 509,497.92 = 238,642.32 : x
  2. Step 2: Convert to fraction form
    340,059.36/509,497.92 = 238,642.32/x
  3. Step 3: Cross multiply
    340,059.36x = 509,497.92 × 238,642.32
  4. Step 4: Simplify right side
    340,059.36x = 121,587,765,663.97
  5. Step 5: Solve for x
    x = 121,587,765,663.97/340,059.36
  6. Step 6: Final answer
    x = 357,548.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.