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Finding the Fourth Proportional to 295,994.17, 408,509.36 and 194,105.35

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Solution

The fourth proportional to 295,994.17, 408,509.36 and 194,105.35 is: 267,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,994.17 : 408,509.36 = 194,105.35 : x
  2. Step 2: Convert to fraction form
    295,994.17/408,509.36 = 194,105.35/x
  3. Step 3: Cross multiply
    295,994.17x = 408,509.36 × 194,105.35
  4. Step 4: Simplify right side
    295,994.17x = 79,293,851,330.55
  5. Step 5: Solve for x
    x = 79,293,851,330.55/295,994.17
  6. Step 6: Final answer
    x = 267,889.91

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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.