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Finding the Fourth Proportional to 543,225.40, 814,834.04 and 164,145.40

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Solution

The fourth proportional to 543,225.40, 814,834.04 and 164,145.40 is: 246,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,225.40 : 814,834.04 = 164,145.40 : x
  2. Step 2: Convert to fraction form
    543,225.40/814,834.04 = 164,145.40/x
  3. Step 3: Cross multiply
    543,225.40x = 814,834.04 × 164,145.40
  4. Step 4: Simplify right side
    543,225.40x = 133,751,259,429.42
  5. Step 5: Solve for x
    x = 133,751,259,429.42/543,225.40
  6. Step 6: Final answer
    x = 246,216.87

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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.