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Finding the Fourth Proportional to 384,548.66, 576,414.51 and 226,851.38

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Solution

The fourth proportional to 384,548.66, 576,414.51 and 226,851.38 is: 340,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,548.66 : 576,414.51 = 226,851.38 : x
  2. Step 2: Convert to fraction form
    384,548.66/576,414.51 = 226,851.38/x
  3. Step 3: Cross multiply
    384,548.66x = 576,414.51 × 226,851.38
  4. Step 4: Simplify right side
    384,548.66x = 130,760,427,045.52
  5. Step 5: Solve for x
    x = 130,760,427,045.52/384,548.66
  6. Step 6: Final answer
    x = 340,036.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.