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Finding the Fourth Proportional to 431,424.24, 595,367.28 and 237,827.80

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Solution

The fourth proportional to 431,424.24, 595,367.28 and 237,827.80 is: 328,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,424.24 : 595,367.28 = 237,827.80 : x
  2. Step 2: Convert to fraction form
    431,424.24/595,367.28 = 237,827.80/x
  3. Step 3: Cross multiply
    431,424.24x = 595,367.28 × 237,827.80
  4. Step 4: Simplify right side
    431,424.24x = 141,594,890,394.38
  5. Step 5: Solve for x
    x = 141,594,890,394.38/431,424.24
  6. Step 6: Final answer
    x = 328,203.37

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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.