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Finding the Fourth Proportional to 277,697.46, 416,532.34 and 97,791.76

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Solution

The fourth proportional to 277,697.46, 416,532.34 and 97,791.76 is: 146,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,697.46 : 416,532.34 = 97,791.76 : x
  2. Step 2: Convert to fraction form
    277,697.46/416,532.34 = 97,791.76/x
  3. Step 3: Cross multiply
    277,697.46x = 416,532.34 × 97,791.76
  4. Step 4: Simplify right side
    277,697.46x = 40,733,430,096.93
  5. Step 5: Solve for x
    x = 40,733,430,096.93/277,697.46
  6. Step 6: Final answer
    x = 146,682.76

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1.5x scale

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.