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Finding the Fourth Proportional to 342,023.07, 513,020.01 and 334,013.79

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Solution

The fourth proportional to 342,023.07, 513,020.01 and 334,013.79 is: 501,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,023.07 : 513,020.01 = 334,013.79 : x
  2. Step 2: Convert to fraction form
    342,023.07/513,020.01 = 334,013.79/x
  3. Step 3: Cross multiply
    342,023.07x = 513,020.01 × 334,013.79
  4. Step 4: Simplify right side
    342,023.07x = 171,355,757,885.94
  5. Step 5: Solve for x
    x = 171,355,757,885.94/342,023.07
  6. Step 6: Final answer
    x = 501,006.43

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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.