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Finding the Fourth Proportional to 513,270, 769,393.08 and 246,954.96

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Solution

The fourth proportional to 513,270, 769,393.08 and 246,954.96 is: 370,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,270 : 769,393.08 = 246,954.96 : x
  2. Step 2: Convert to fraction form
    513,270/769,393.08 = 246,954.96/x
  3. Step 3: Cross multiply
    513,270x = 769,393.08 × 246,954.96
  4. Step 4: Simplify right side
    513,270x = 190,005,437,295.68
  5. Step 5: Solve for x
    x = 190,005,437,295.68/513,270
  6. Step 6: Final answer
    x = 370,186.13

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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.