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Finding the Fourth Proportional to 277,312.24, 415,936.23 and 77,648.59

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Solution

The fourth proportional to 277,312.24, 415,936.23 and 77,648.59 is: 116,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,312.24 : 415,936.23 = 77,648.59 : x
  2. Step 2: Convert to fraction form
    277,312.24/415,936.23 = 77,648.59/x
  3. Step 3: Cross multiply
    277,312.24x = 415,936.23 × 77,648.59
  4. Step 4: Simplify right side
    277,312.24x = 32,296,861,789.42
  5. Step 5: Solve for x
    x = 32,296,861,789.42/277,312.24
  6. Step 6: Final answer
    x = 116,463.89

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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.