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Finding the Fourth Proportional to 787,984, 1,181,976 and 197,008

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Solution

The fourth proportional to 787,984, 1,181,976 and 197,008 is: 295,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,984 : 1,181,976 = 197,008 : x
  2. Step 2: Convert to fraction form
    787,984/1,181,976 = 197,008/x
  3. Step 3: Cross multiply
    787,984x = 1,181,976 × 197,008
  4. Step 4: Simplify right side
    787,984x = 232,858,727,808
  5. Step 5: Solve for x
    x = 232,858,727,808/787,984
  6. Step 6: Final answer
    x = 295,512

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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.