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Finding the Fourth Proportional to 780,138.30, 1,170,207.45 and 360,234.30

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Solution

The fourth proportional to 780,138.30, 1,170,207.45 and 360,234.30 is: 540,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,138.30 : 1,170,207.45 = 360,234.30 : x
  2. Step 2: Convert to fraction form
    780,138.30/1,170,207.45 = 360,234.30/x
  3. Step 3: Cross multiply
    780,138.30x = 1,170,207.45 × 360,234.30
  4. Step 4: Simplify right side
    780,138.30x = 421,548,861,605.54
  5. Step 5: Solve for x
    x = 421,548,861,605.54/780,138.30
  6. Step 6: Final answer
    x = 540,351.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.