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Finding the Fourth Proportional to 311,952.47, 430,494.71 and 168,712.52

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Solution

The fourth proportional to 311,952.47, 430,494.71 and 168,712.52 is: 232,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.47 : 430,494.71 = 168,712.52 : x
  2. Step 2: Convert to fraction form
    311,952.47/430,494.71 = 168,712.52/x
  3. Step 3: Cross multiply
    311,952.47x = 430,494.71 × 168,712.52
  4. Step 4: Simplify right side
    311,952.47x = 72,629,844,374.73
  5. Step 5: Solve for x
    x = 72,629,844,374.73/311,952.47
  6. Step 6: Final answer
    x = 232,823.43

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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.