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Finding the Fourth Proportional to 413,556.34, 619,893.46 and 235,680.34

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Solution

The fourth proportional to 413,556.34, 619,893.46 and 235,680.34 is: 353,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,556.34 : 619,893.46 = 235,680.34 : x
  2. Step 2: Convert to fraction form
    413,556.34/619,893.46 = 235,680.34/x
  3. Step 3: Cross multiply
    413,556.34x = 619,893.46 × 235,680.34
  4. Step 4: Simplify right side
    413,556.34x = 146,096,700,238.18
  5. Step 5: Solve for x
    x = 146,096,700,238.18/413,556.34
  6. Step 6: Final answer
    x = 353,269.16

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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.