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Finding the Fourth Proportional to 400,982.02, 601,467.84 and 97,378.66

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Solution

The fourth proportional to 400,982.02, 601,467.84 and 97,378.66 is: 146,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,982.02 : 601,467.84 = 97,378.66 : x
  2. Step 2: Convert to fraction form
    400,982.02/601,467.84 = 97,378.66/x
  3. Step 3: Cross multiply
    400,982.02x = 601,467.84 × 97,378.66
  4. Step 4: Simplify right side
    400,982.02x = 58,570,131,805.40
  5. Step 5: Solve for x
    x = 58,570,131,805.40/400,982.02
  6. Step 6: Final answer
    x = 146,066.73

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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.