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Finding the Fourth Proportional to 296,715.22, 444,759.05 and 96,981.98

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Solution

The fourth proportional to 296,715.22, 444,759.05 and 96,981.98 is: 145,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,715.22 : 444,759.05 = 96,981.98 : x
  2. Step 2: Convert to fraction form
    296,715.22/444,759.05 = 96,981.98/x
  3. Step 3: Cross multiply
    296,715.22x = 444,759.05 × 96,981.98
  4. Step 4: Simplify right side
    296,715.22x = 43,133,611,310.58
  5. Step 5: Solve for x
    x = 43,133,611,310.58/296,715.22
  6. Step 6: Final answer
    x = 145,370.40

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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.