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Finding the Fourth Proportional to 311,952.10, 430,494.19 and 168,712.14

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Solution

The fourth proportional to 311,952.10, 430,494.19 and 168,712.14 is: 232,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.10 : 430,494.19 = 168,712.14 : x
  2. Step 2: Convert to fraction form
    311,952.10/430,494.19 = 168,712.14/x
  3. Step 3: Cross multiply
    311,952.10x = 430,494.19 × 168,712.14
  4. Step 4: Simplify right side
    311,952.10x = 72,629,596,052.47
  5. Step 5: Solve for x
    x = 72,629,596,052.47/311,952.10
  6. Step 6: Final answer
    x = 232,822.91

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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.