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Finding the Fourth Proportional to 386,331.42, 533,248.46 and 233,345.31

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Solution

The fourth proportional to 386,331.42, 533,248.46 and 233,345.31 is: 322,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,331.42 : 533,248.46 = 233,345.31 : x
  2. Step 2: Convert to fraction form
    386,331.42/533,248.46 = 233,345.31/x
  3. Step 3: Cross multiply
    386,331.42x = 533,248.46 × 233,345.31
  4. Step 4: Simplify right side
    386,331.42x = 124,431,026,226.93
  5. Step 5: Solve for x
    x = 124,431,026,226.93/386,331.42
  6. Step 6: Final answer
    x = 322,083.63

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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.