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Finding the Fourth Proportional to 411,150.22, 616,311.18 and 171,396.77

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Solution

The fourth proportional to 411,150.22, 616,311.18 and 171,396.77 is: 256,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,150.22 : 616,311.18 = 171,396.77 : x
  2. Step 2: Convert to fraction form
    411,150.22/616,311.18 = 171,396.77/x
  3. Step 3: Cross multiply
    411,150.22x = 616,311.18 × 171,396.77
  4. Step 4: Simplify right side
    411,150.22x = 105,633,742,485.33
  5. Step 5: Solve for x
    x = 105,633,742,485.33/411,150.22
  6. Step 6: Final answer
    x = 256,922.50

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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.