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Finding the Fourth Proportional to 301,219.84, 415,959.84 and 193,978.24

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Solution

The fourth proportional to 301,219.84, 415,959.84 and 193,978.24 is: 267,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,219.84 : 415,959.84 = 193,978.24 : x
  2. Step 2: Convert to fraction form
    301,219.84/415,959.84 = 193,978.24/x
  3. Step 3: Cross multiply
    301,219.84x = 415,959.84 × 193,978.24
  4. Step 4: Simplify right side
    301,219.84x = 80,687,157,673.88
  5. Step 5: Solve for x
    x = 80,687,157,673.88/301,219.84
  6. Step 6: Final answer
    x = 267,868.01

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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.