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Finding the Fourth Proportional to 525,984.43, 725,861.84 and 284,266.43

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Solution

The fourth proportional to 525,984.43, 725,861.84 and 284,266.43 is: 392,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,984.43 : 725,861.84 = 284,266.43 : x
  2. Step 2: Convert to fraction form
    525,984.43/725,861.84 = 284,266.43/x
  3. Step 3: Cross multiply
    525,984.43x = 725,861.84 × 284,266.43
  4. Step 4: Simplify right side
    525,984.43x = 206,338,153,930.03
  5. Step 5: Solve for x
    x = 206,338,153,930.03/525,984.43
  6. Step 6: Final answer
    x = 392,289.47

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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.