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Finding the Fourth Proportional to 413,760.32, 620,912.64 and 226,903.04

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Solution

The fourth proportional to 413,760.32, 620,912.64 and 226,903.04 is: 340,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,760.32 : 620,912.64 = 226,903.04 : x
  2. Step 2: Convert to fraction form
    413,760.32/620,912.64 = 226,903.04/x
  3. Step 3: Cross multiply
    413,760.32x = 620,912.64 × 226,903.04
  4. Step 4: Simplify right side
    413,760.32x = 140,886,965,590.43
  5. Step 5: Solve for x
    x = 140,886,965,590.43/413,760.32
  6. Step 6: Final answer
    x = 340,503.81

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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.