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Finding the Fourth Proportional to 645,772.86, 968,806.72 and 196,557.40

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Solution

The fourth proportional to 645,772.86, 968,806.72 and 196,557.40 is: 294,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,772.86 : 968,806.72 = 196,557.40 : x
  2. Step 2: Convert to fraction form
    645,772.86/968,806.72 = 196,557.40/x
  3. Step 3: Cross multiply
    645,772.86x = 968,806.72 × 196,557.40
  4. Step 4: Simplify right side
    645,772.86x = 190,426,129,985.73
  5. Step 5: Solve for x
    x = 190,426,129,985.73/645,772.86
  6. Step 6: Final answer
    x = 294,880.97

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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.