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Finding the Fourth Proportional to 645,805.09, 968,915.20 and 196,612.91

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Solution

The fourth proportional to 645,805.09, 968,915.20 and 196,612.91 is: 294,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,805.09 : 968,915.20 = 196,612.91 : x
  2. Step 2: Convert to fraction form
    645,805.09/968,915.20 = 196,612.91/x
  3. Step 3: Cross multiply
    645,805.09x = 968,915.20 × 196,612.91
  4. Step 4: Simplify right side
    645,805.09x = 190,501,237,015.23
  5. Step 5: Solve for x
    x = 190,501,237,015.23/645,805.09
  6. Step 6: Final answer
    x = 294,982.56

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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.