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Finding the Fourth Proportional to 645,807.09, 968,918.21 and 196,614.92

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Solution

The fourth proportional to 645,807.09, 968,918.21 and 196,614.92 is: 294,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,807.09 : 968,918.21 = 196,614.92 : x
  2. Step 2: Convert to fraction form
    645,807.09/968,918.21 = 196,614.92/x
  3. Step 3: Cross multiply
    645,807.09x = 968,918.21 × 196,614.92
  4. Step 4: Simplify right side
    645,807.09x = 190,503,770,518.03
  5. Step 5: Solve for x
    x = 190,503,770,518.03/645,807.09
  6. Step 6: Final answer
    x = 294,985.57

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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.