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Finding the Fourth Proportional to 440,145.30, 659,233.80 and 381,096.30

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Solution

The fourth proportional to 440,145.30, 659,233.80 and 381,096.30 is: 570,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,145.30 : 659,233.80 = 381,096.30 : x
  2. Step 2: Convert to fraction form
    440,145.30/659,233.80 = 381,096.30/x
  3. Step 3: Cross multiply
    440,145.30x = 659,233.80 × 381,096.30
  4. Step 4: Simplify right side
    440,145.30x = 251,231,562,014.94
  5. Step 5: Solve for x
    x = 251,231,562,014.94/440,145.30
  6. Step 6: Final answer
    x = 570,792.33

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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.