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Finding the Fourth Proportional to 1,314,672.98, 1,972,304.91 and 416,168.60

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Solution

The fourth proportional to 1,314,672.98, 1,972,304.91 and 416,168.60 is: 624,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,672.98 : 1,972,304.91 = 416,168.60 : x
  2. Step 2: Convert to fraction form
    1,314,672.98/1,972,304.91 = 416,168.60/x
  3. Step 3: Cross multiply
    1,314,672.98x = 1,972,304.91 × 416,168.60
  4. Step 4: Simplify right side
    1,314,672.98x = 820,811,363,306.30
  5. Step 5: Solve for x
    x = 820,811,363,306.30/1,314,672.98
  6. Step 6: Final answer
    x = 624,346.42

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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.