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Finding the Fourth Proportional to 869,118, 1,304,255.46 and 357,202.98

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Solution

The fourth proportional to 869,118, 1,304,255.46 and 357,202.98 is: 536,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,118 : 1,304,255.46 = 357,202.98 : x
  2. Step 2: Convert to fraction form
    869,118/1,304,255.46 = 357,202.98/x
  3. Step 3: Cross multiply
    869,118x = 1,304,255.46 × 357,202.98
  4. Step 4: Simplify right side
    869,118x = 465,883,936,993.27
  5. Step 5: Solve for x
    x = 465,883,936,993.27/869,118
  6. Step 6: Final answer
    x = 536,042.21

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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.