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Finding the Fourth Proportional to 301,060.46, 415,273.02 and 193,445.48

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Solution

The fourth proportional to 301,060.46, 415,273.02 and 193,445.48 is: 266,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,060.46 : 415,273.02 = 193,445.48 : x
  2. Step 2: Convert to fraction form
    301,060.46/415,273.02 = 193,445.48/x
  3. Step 3: Cross multiply
    301,060.46x = 415,273.02 × 193,445.48
  4. Step 4: Simplify right side
    301,060.46x = 80,332,688,684.95
  5. Step 5: Solve for x
    x = 80,332,688,684.95/301,060.46
  6. Step 6: Final answer
    x = 266,832.41

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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.