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Finding the Fourth Proportional to 322,065.91, 483,116.46 and 97,420.87

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Solution

The fourth proportional to 322,065.91, 483,116.46 and 97,420.87 is: 146,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,065.91 : 483,116.46 = 97,420.87 : x
  2. Step 2: Convert to fraction form
    322,065.91/483,116.46 = 97,420.87/x
  3. Step 3: Cross multiply
    322,065.91x = 483,116.46 × 97,420.87
  4. Step 4: Simplify right side
    322,065.91x = 47,065,625,844.52
  5. Step 5: Solve for x
    x = 47,065,625,844.52/322,065.91
  6. Step 6: Final answer
    x = 146,136.63

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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.