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Finding the Fourth Proportional to 277,266.52, 415,932.30 and 97,297

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Solution

The fourth proportional to 277,266.52, 415,932.30 and 97,297 is: 145,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,266.52 : 415,932.30 = 97,297 : x
  2. Step 2: Convert to fraction form
    277,266.52/415,932.30 = 97,297/x
  3. Step 3: Cross multiply
    277,266.52x = 415,932.30 × 97,297
  4. Step 4: Simplify right side
    277,266.52x = 40,468,964,993.10
  5. Step 5: Solve for x
    x = 40,468,964,993.10/277,266.52
  6. Step 6: Final answer
    x = 145,956.91

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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.