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Finding the Fourth Proportional to 525,984.36, 725,861.75 and 284,266.37

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Solution

The fourth proportional to 525,984.36, 725,861.75 and 284,266.37 is: 392,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,984.36 : 725,861.75 = 284,266.37 : x
  2. Step 2: Convert to fraction form
    525,984.36/725,861.75 = 284,266.37/x
  3. Step 3: Cross multiply
    525,984.36x = 725,861.75 × 284,266.37
  4. Step 4: Simplify right side
    525,984.36x = 206,338,079,743.71
  5. Step 5: Solve for x
    x = 206,338,079,743.71/525,984.36
  6. Step 6: Final answer
    x = 392,289.38

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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.