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Finding the Fourth Proportional to 664,957.77, 998,913.02 and 412,424.97

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Solution

The fourth proportional to 664,957.77, 998,913.02 and 412,424.97 is: 619,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,957.77 : 998,913.02 = 412,424.97 : x
  2. Step 2: Convert to fraction form
    664,957.77/998,913.02 = 412,424.97/x
  3. Step 3: Cross multiply
    664,957.77x = 998,913.02 × 412,424.97
  4. Step 4: Simplify right side
    664,957.77x = 411,976,670,243.99
  5. Step 5: Solve for x
    x = 411,976,670,243.99/664,957.77
  6. Step 6: Final answer
    x = 619,553.13

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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.