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Finding the Fourth Proportional to 413,940.52, 620,468.70 and 236,064.52

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Solution

The fourth proportional to 413,940.52, 620,468.70 and 236,064.52 is: 353,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,940.52 : 620,468.70 = 236,064.52 : x
  2. Step 2: Convert to fraction form
    413,940.52/620,468.70 = 236,064.52/x
  3. Step 3: Cross multiply
    413,940.52x = 620,468.70 × 236,064.52
  4. Step 4: Simplify right side
    413,940.52x = 146,470,645,840.52
  5. Step 5: Solve for x
    x = 146,470,645,840.52/413,940.52
  6. Step 6: Final answer
    x = 353,844.67

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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.