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Finding the Fourth Proportional to 386,497.32, 533,371.80 and 233,514.24

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Solution

The fourth proportional to 386,497.32, 533,371.80 and 233,514.24 is: 322,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,497.32 : 533,371.80 = 233,514.24 : x
  2. Step 2: Convert to fraction form
    386,497.32/533,371.80 = 233,514.24/x
  3. Step 3: Cross multiply
    386,497.32x = 533,371.80 × 233,514.24
  4. Step 4: Simplify right side
    386,497.32x = 124,549,910,514.43
  5. Step 5: Solve for x
    x = 124,549,910,514.43/386,497.32
  6. Step 6: Final answer
    x = 322,252.97

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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.