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Finding the Fourth Proportional to 494,533.71, 682,472.66 and 322,564.23

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Solution

The fourth proportional to 494,533.71, 682,472.66 and 322,564.23 is: 445,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,533.71 : 682,472.66 = 322,564.23 : x
  2. Step 2: Convert to fraction form
    494,533.71/682,472.66 = 322,564.23/x
  3. Step 3: Cross multiply
    494,533.71x = 682,472.66 × 322,564.23
  4. Step 4: Simplify right side
    494,533.71x = 220,141,266,456.13
  5. Step 5: Solve for x
    x = 220,141,266,456.13/494,533.71
  6. Step 6: Final answer
    x = 445,149.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.