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Finding the Fourth Proportional to 427,920.06, 590,538.96 and 234,336

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Solution

The fourth proportional to 427,920.06, 590,538.96 and 234,336 is: 323,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,920.06 : 590,538.96 = 234,336 : x
  2. Step 2: Convert to fraction form
    427,920.06/590,538.96 = 234,336/x
  3. Step 3: Cross multiply
    427,920.06x = 590,538.96 × 234,336
  4. Step 4: Simplify right side
    427,920.06x = 138,384,537,730.56
  5. Step 5: Solve for x
    x = 138,384,537,730.56/427,920.06
  6. Step 6: Final answer
    x = 323,388.76

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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.