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Finding the Fourth Proportional to 342,238.36, 512,929.86 and 164,697.70

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Solution

The fourth proportional to 342,238.36, 512,929.86 and 164,697.70 is: 246,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,238.36 : 512,929.86 = 164,697.70 : x
  2. Step 2: Convert to fraction form
    342,238.36/512,929.86 = 164,697.70/x
  3. Step 3: Cross multiply
    342,238.36x = 512,929.86 × 164,697.70
  4. Step 4: Simplify right side
    342,238.36x = 84,478,368,203.32
  5. Step 5: Solve for x
    x = 84,478,368,203.32/342,238.36
  6. Step 6: Final answer
    x = 246,840.73

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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.