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Finding the Fourth Proportional to 978,470.80, 1,467,706.20 and 447,029.80

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Solution

The fourth proportional to 978,470.80, 1,467,706.20 and 447,029.80 is: 670,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,470.80 : 1,467,706.20 = 447,029.80 : x
  2. Step 2: Convert to fraction form
    978,470.80/1,467,706.20 = 447,029.80/x
  3. Step 3: Cross multiply
    978,470.80x = 1,467,706.20 × 447,029.80
  4. Step 4: Simplify right side
    978,470.80x = 656,108,409,044.76
  5. Step 5: Solve for x
    x = 656,108,409,044.76/978,470.80
  6. Step 6: Final answer
    x = 670,544.70

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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.