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Finding the Fourth Proportional to 645,765.86, 968,796.21 and 196,550.39

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Solution

The fourth proportional to 645,765.86, 968,796.21 and 196,550.39 is: 294,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,765.86 : 968,796.21 = 196,550.39 : x
  2. Step 2: Convert to fraction form
    645,765.86/968,796.21 = 196,550.39/x
  3. Step 3: Cross multiply
    645,765.86x = 968,796.21 × 196,550.39
  4. Step 4: Simplify right side
    645,765.86x = 190,417,272,906.02
  5. Step 5: Solve for x
    x = 190,417,272,906.02/645,765.86
  6. Step 6: Final answer
    x = 294,870.45

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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.