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Finding the Fourth Proportional to 647,811.46, 971,717.19 and 332,066.98

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Solution

The fourth proportional to 647,811.46, 971,717.19 and 332,066.98 is: 498,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,811.46 : 971,717.19 = 332,066.98 : x
  2. Step 2: Convert to fraction form
    647,811.46/971,717.19 = 332,066.98/x
  3. Step 3: Cross multiply
    647,811.46x = 971,717.19 × 332,066.98
  4. Step 4: Simplify right side
    647,811.46x = 322,675,192,697.39
  5. Step 5: Solve for x
    x = 322,675,192,697.39/647,811.46
  6. Step 6: Final answer
    x = 498,100.47

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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.