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Finding the Fourth Proportional to 477,087.90, 715,359.69 and 196,270.62

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Solution

The fourth proportional to 477,087.90, 715,359.69 and 196,270.62 is: 294,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,087.90 : 715,359.69 = 196,270.62 : x
  2. Step 2: Convert to fraction form
    477,087.90/715,359.69 = 196,270.62/x
  3. Step 3: Cross multiply
    477,087.90x = 715,359.69 × 196,270.62
  4. Step 4: Simplify right side
    477,087.90x = 140,404,089,879.31
  5. Step 5: Solve for x
    x = 140,404,089,879.31/477,087.90
  6. Step 6: Final answer
    x = 294,293.97

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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.