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Finding the Fourth Proportional to 284,452.44, 426,740.98 and 106,959.45

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Solution

The fourth proportional to 284,452.44, 426,740.98 and 106,959.45 is: 160,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,452.44 : 426,740.98 = 106,959.45 : x
  2. Step 2: Convert to fraction form
    284,452.44/426,740.98 = 106,959.45/x
  3. Step 3: Cross multiply
    284,452.44x = 426,740.98 × 106,959.45
  4. Step 4: Simplify right side
    284,452.44x = 45,643,979,870.35
  5. Step 5: Solve for x
    x = 45,643,979,870.35/284,452.44
  6. Step 6: Final answer
    x = 160,462.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.