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Finding the Fourth Proportional to 288,196.42, 397,709.51 and 167,367.38

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Solution

The fourth proportional to 288,196.42, 397,709.51 and 167,367.38 is: 230,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,196.42 : 397,709.51 = 167,367.38 : x
  2. Step 2: Convert to fraction form
    288,196.42/397,709.51 = 167,367.38/x
  3. Step 3: Cross multiply
    288,196.42x = 397,709.51 × 167,367.38
  4. Step 4: Simplify right side
    288,196.42x = 66,563,598,689.78
  5. Step 5: Solve for x
    x = 66,563,598,689.78/288,196.42
  6. Step 6: Final answer
    x = 230,966.08

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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.