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Finding the Fourth Proportional to 312,445.09, 431,174.64 and 169,205.38

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Solution

The fourth proportional to 312,445.09, 431,174.64 and 169,205.38 is: 233,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,445.09 : 431,174.64 = 169,205.38 : x
  2. Step 2: Convert to fraction form
    312,445.09/431,174.64 = 169,205.38/x
  3. Step 3: Cross multiply
    312,445.09x = 431,174.64 × 169,205.38
  4. Step 4: Simplify right side
    312,445.09x = 72,957,068,807.56
  5. Step 5: Solve for x
    x = 72,957,068,807.56/312,445.09
  6. Step 6: Final answer
    x = 233,503.65

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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.