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Finding the Fourth Proportional to 427,921.92, 590,539.50 and 234,326.52

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Solution

The fourth proportional to 427,921.92, 590,539.50 and 234,326.52 is: 323,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,921.92 : 590,539.50 = 234,326.52 : x
  2. Step 2: Convert to fraction form
    427,921.92/590,539.50 = 234,326.52/x
  3. Step 3: Cross multiply
    427,921.92x = 590,539.50 × 234,326.52
  4. Step 4: Simplify right side
    427,921.92x = 138,379,065,957.54
  5. Step 5: Solve for x
    x = 138,379,065,957.54/427,921.92
  6. Step 6: Final answer
    x = 323,374.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.