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Finding the Fourth Proportional to 386,092.44, 576,497.79 and 345,851.64

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Solution

The fourth proportional to 386,092.44, 576,497.79 and 345,851.64 is: 516,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,092.44 : 576,497.79 = 345,851.64 : x
  2. Step 2: Convert to fraction form
    386,092.44/576,497.79 = 345,851.64/x
  3. Step 3: Cross multiply
    386,092.44x = 576,497.79 × 345,851.64
  4. Step 4: Simplify right side
    386,092.44x = 199,382,706,127.88
  5. Step 5: Solve for x
    x = 199,382,706,127.88/386,092.44
  6. Step 6: Final answer
    x = 516,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.