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Finding the Fourth Proportional to 547,059.88, 819,899.54 and 277,255.81

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Solution

The fourth proportional to 547,059.88, 819,899.54 and 277,255.81 is: 415,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,059.88 : 819,899.54 = 277,255.81 : x
  2. Step 2: Convert to fraction form
    547,059.88/819,899.54 = 277,255.81/x
  3. Step 3: Cross multiply
    547,059.88x = 819,899.54 × 277,255.81
  4. Step 4: Simplify right side
    547,059.88x = 227,321,911,081.33
  5. Step 5: Solve for x
    x = 227,321,911,081.33/547,059.88
  6. Step 6: Final answer
    x = 415,533.87

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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.