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Finding the Fourth Proportional to 650,704.75, 974,785.91 and 448,265.09

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Solution

The fourth proportional to 650,704.75, 974,785.91 and 448,265.09 is: 671,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,704.75 : 974,785.91 = 448,265.09 : x
  2. Step 2: Convert to fraction form
    650,704.75/974,785.91 = 448,265.09/x
  3. Step 3: Cross multiply
    650,704.75x = 974,785.91 × 448,265.09
  4. Step 4: Simplify right side
    650,704.75x = 436,962,493,872.52
  5. Step 5: Solve for x
    x = 436,962,493,872.52/650,704.75
  6. Step 6: Final answer
    x = 671,521.91

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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.