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Finding the Fourth Proportional to 412,409.37, 569,116.35 and 226,138.22

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Solution

The fourth proportional to 412,409.37, 569,116.35 and 226,138.22 is: 312,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,409.37 : 569,116.35 = 226,138.22 : x
  2. Step 2: Convert to fraction form
    412,409.37/569,116.35 = 226,138.22/x
  3. Step 3: Cross multiply
    412,409.37x = 569,116.35 × 226,138.22
  4. Step 4: Simplify right side
    412,409.37x = 128,698,957,855.88
  5. Step 5: Solve for x
    x = 128,698,957,855.88/412,409.37
  6. Step 6: Final answer
    x = 312,066.04

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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.