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Finding the Fourth Proportional to 342,077.40, 513,199.62 and 241,072.47

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Solution

The fourth proportional to 342,077.40, 513,199.62 and 241,072.47 is: 361,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,077.40 : 513,199.62 = 241,072.47 : x
  2. Step 2: Convert to fraction form
    342,077.40/513,199.62 = 241,072.47/x
  3. Step 3: Cross multiply
    342,077.40x = 513,199.62 × 241,072.47
  4. Step 4: Simplify right side
    342,077.40x = 123,718,299,996.46
  5. Step 5: Solve for x
    x = 123,718,299,996.46/342,077.40
  6. Step 6: Final answer
    x = 361,667.56

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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.