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Finding the Fourth Proportional to 636,014, 954,022.62 and 192,782

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Solution

The fourth proportional to 636,014, 954,022.62 and 192,782 is: 289,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,014 : 954,022.62 = 192,782 : x
  2. Step 2: Convert to fraction form
    636,014/954,022.62 = 192,782/x
  3. Step 3: Cross multiply
    636,014x = 954,022.62 × 192,782
  4. Step 4: Simplify right side
    636,014x = 183,918,388,728.84
  5. Step 5: Solve for x
    x = 183,918,388,728.84/636,014
  6. Step 6: Final answer
    x = 289,173.49

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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.