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Finding the Fourth Proportional to 978,176.70, 1,467,265.05 and 446,735.70

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Solution

The fourth proportional to 978,176.70, 1,467,265.05 and 446,735.70 is: 670,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,176.70 : 1,467,265.05 = 446,735.70 : x
  2. Step 2: Convert to fraction form
    978,176.70/1,467,265.05 = 446,735.70/x
  3. Step 3: Cross multiply
    978,176.70x = 1,467,265.05 × 446,735.70
  4. Step 4: Simplify right side
    978,176.70x = 655,479,679,197.29
  5. Step 5: Solve for x
    x = 655,479,679,197.29/978,176.70
  6. Step 6: Final answer
    x = 670,103.55

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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.