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Finding the Fourth Proportional to 342,227.36, 512,913.36 and 164,686.70

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Solution

The fourth proportional to 342,227.36, 512,913.36 and 164,686.70 is: 246,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,227.36 : 512,913.36 = 164,686.70 : x
  2. Step 2: Convert to fraction form
    342,227.36/512,913.36 = 164,686.70/x
  3. Step 3: Cross multiply
    342,227.36x = 512,913.36 × 164,686.70
  4. Step 4: Simplify right side
    342,227.36x = 84,470,008,644.31
  5. Step 5: Solve for x
    x = 84,470,008,644.31/342,227.36
  6. Step 6: Final answer
    x = 246,824.24

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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.