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Finding the Fourth Proportional to 300,503.64, 414,682.20 and 164,535.12

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Solution

The fourth proportional to 300,503.64, 414,682.20 and 164,535.12 is: 227,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,503.64 : 414,682.20 = 164,535.12 : x
  2. Step 2: Convert to fraction form
    300,503.64/414,682.20 = 164,535.12/x
  3. Step 3: Cross multiply
    300,503.64x = 414,682.20 × 164,535.12
  4. Step 4: Simplify right side
    300,503.64x = 68,229,785,538.86
  5. Step 5: Solve for x
    x = 68,229,785,538.86/300,503.64
  6. Step 6: Final answer
    x = 227,051.44

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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.