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Finding the Fourth Proportional to 464,736.70, 697,105.05 and 413,998.30

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Solution

The fourth proportional to 464,736.70, 697,105.05 and 413,998.30 is: 620,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,736.70 : 697,105.05 = 413,998.30 : x
  2. Step 2: Convert to fraction form
    464,736.70/697,105.05 = 413,998.30/x
  3. Step 3: Cross multiply
    464,736.70x = 697,105.05 × 413,998.30
  4. Step 4: Simplify right side
    464,736.70x = 288,600,305,621.42
  5. Step 5: Solve for x
    x = 288,600,305,621.42/464,736.70
  6. Step 6: Final answer
    x = 620,997.45

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Similar ratio
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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.