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Finding the Fourth Proportional to 4,609,843.90, 6,914,782.25 and 1,414,970.35

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Solution

The fourth proportional to 4,609,843.90, 6,914,782.25 and 1,414,970.35 is: 2,122,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609,843.90 : 6,914,782.25 = 1,414,970.35 : x
  2. Step 2: Convert to fraction form
    4,609,843.90/6,914,782.25 = 1,414,970.35/x
  3. Step 3: Cross multiply
    4,609,843.90x = 6,914,782.25 × 1,414,970.35
  4. Step 4: Simplify right side
    4,609,843.90x = 9,784,211,860,456.29
  5. Step 5: Solve for x
    x = 9,784,211,860,456.29/4,609,843.90
  6. Step 6: Final answer
    x = 2,122,460.56

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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.