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Finding the Fourth Proportional to 440,001.20, 659,224.20 and 412,007.60

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Solution

The fourth proportional to 440,001.20, 659,224.20 and 412,007.60 is: 617,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,001.20 : 659,224.20 = 412,007.60 : x
  2. Step 2: Convert to fraction form
    440,001.20/659,224.20 = 412,007.60/x
  3. Step 3: Cross multiply
    440,001.20x = 659,224.20 × 412,007.60
  4. Step 4: Simplify right side
    440,001.20x = 271,605,380,503.92
  5. Step 5: Solve for x
    x = 271,605,380,503.92/440,001.20
  6. Step 6: Final answer
    x = 617,283.27

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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.