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Finding the Fourth Proportional to 547,904.40, 821,467.80 and 210,814.80

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Solution

The fourth proportional to 547,904.40, 821,467.80 and 210,814.80 is: 316,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,904.40 : 821,467.80 = 210,814.80 : x
  2. Step 2: Convert to fraction form
    547,904.40/821,467.80 = 210,814.80/x
  3. Step 3: Cross multiply
    547,904.40x = 821,467.80 × 210,814.80
  4. Step 4: Simplify right side
    547,904.40x = 173,177,569,963.44
  5. Step 5: Solve for x
    x = 173,177,569,963.44/547,904.40
  6. Step 6: Final answer
    x = 316,072.60

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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.