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Finding the Fourth Proportional to 411,103.70, 616,655.26 and 111,628.22

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Solution

The fourth proportional to 411,103.70, 616,655.26 and 111,628.22 is: 167,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,103.70 : 616,655.26 = 111,628.22 : x
  2. Step 2: Convert to fraction form
    411,103.70/616,655.26 = 111,628.22/x
  3. Step 3: Cross multiply
    411,103.70x = 616,655.26 × 111,628.22
  4. Step 4: Simplify right side
    411,103.70x = 68,836,129,027.44
  5. Step 5: Solve for x
    x = 68,836,129,027.44/411,103.70
  6. Step 6: Final answer
    x = 167,442.25

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1.5x scale

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.