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Finding the Fourth Proportional to 322,211.64, 483,340.82 and 97,589.60

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Solution

The fourth proportional to 322,211.64, 483,340.82 and 97,589.60 is: 146,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,211.64 : 483,340.82 = 97,589.60 : x
  2. Step 2: Convert to fraction form
    322,211.64/483,340.82 = 97,589.60/x
  3. Step 3: Cross multiply
    322,211.64x = 483,340.82 × 97,589.60
  4. Step 4: Simplify right side
    322,211.64x = 47,169,036,064.59
  5. Step 5: Solve for x
    x = 47,169,036,064.59/322,211.64
  6. Step 6: Final answer
    x = 146,391.47

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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.