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Finding the Fourth Proportional to 277,265.52, 415,930.80 and 97,296

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Solution

The fourth proportional to 277,265.52, 415,930.80 and 97,296 is: 145,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,265.52 : 415,930.80 = 97,296 : x
  2. Step 2: Convert to fraction form
    277,265.52/415,930.80 = 97,296/x
  3. Step 3: Cross multiply
    277,265.52x = 415,930.80 × 97,296
  4. Step 4: Simplify right side
    277,265.52x = 40,468,403,116.80
  5. Step 5: Solve for x
    x = 40,468,403,116.80/277,265.52
  6. Step 6: Final answer
    x = 145,955.41

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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.