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Finding the Fourth Proportional to 277,600.89, 416,404.74 and 97,691.67

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Solution

The fourth proportional to 277,600.89, 416,404.74 and 97,691.67 is: 146,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,600.89 : 416,404.74 = 97,691.67 : x
  2. Step 2: Convert to fraction form
    277,600.89/416,404.74 = 97,691.67/x
  3. Step 3: Cross multiply
    277,600.89x = 416,404.74 × 97,691.67
  4. Step 4: Simplify right side
    277,600.89x = 40,679,274,446.52
  5. Step 5: Solve for x
    x = 40,679,274,446.52/277,600.89
  6. Step 6: Final answer
    x = 146,538.70

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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.