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Finding the Fourth Proportional to 322,598.66, 483,996.40 and 164,937.82

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Solution

The fourth proportional to 322,598.66, 483,996.40 and 164,937.82 is: 247,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,598.66 : 483,996.40 = 164,937.82 : x
  2. Step 2: Convert to fraction form
    322,598.66/483,996.40 = 164,937.82/x
  3. Step 3: Cross multiply
    322,598.66x = 483,996.40 × 164,937.82
  4. Step 4: Simplify right side
    322,598.66x = 79,829,311,103.85
  5. Step 5: Solve for x
    x = 79,829,311,103.85/322,598.66
  6. Step 6: Final answer
    x = 247,457.04

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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.