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Finding the Fourth Proportional to 312,346.42, 431,037.45 and 169,106.44

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Solution

The fourth proportional to 312,346.42, 431,037.45 and 169,106.44 is: 233,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,346.42 : 431,037.45 = 169,106.44 : x
  2. Step 2: Convert to fraction form
    312,346.42/431,037.45 = 169,106.44/x
  3. Step 3: Cross multiply
    312,346.42x = 431,037.45 × 169,106.44
  4. Step 4: Simplify right side
    312,346.42x = 72,891,208,676.18
  5. Step 5: Solve for x
    x = 72,891,208,676.18/312,346.42
  6. Step 6: Final answer
    x = 233,366.56

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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.