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Finding the Fourth Proportional to 288,196.92, 397,710.20 and 167,367.88

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Solution

The fourth proportional to 288,196.92, 397,710.20 and 167,367.88 is: 230,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,196.92 : 397,710.20 = 167,367.88 : x
  2. Step 2: Convert to fraction form
    288,196.92/397,710.20 = 167,367.88/x
  3. Step 3: Cross multiply
    288,196.92x = 397,710.20 × 167,367.88
  4. Step 4: Simplify right side
    288,196.92x = 66,563,913,028.38
  5. Step 5: Solve for x
    x = 66,563,913,028.38/288,196.92
  6. Step 6: Final answer
    x = 230,966.77

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1.5x scale

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.