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Finding the Fourth Proportional to 463,531.69, 695,203.90 and 322,658.36

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Solution

The fourth proportional to 463,531.69, 695,203.90 and 322,658.36 is: 483,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,531.69 : 695,203.90 = 322,658.36 : x
  2. Step 2: Convert to fraction form
    463,531.69/695,203.90 = 322,658.36/x
  3. Step 3: Cross multiply
    463,531.69x = 695,203.90 × 322,658.36
  4. Step 4: Simplify right side
    463,531.69x = 224,313,351,880.43
  5. Step 5: Solve for x
    x = 224,313,351,880.43/463,531.69
  6. Step 6: Final answer
    x = 483,922.37

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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.