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Finding the Fourth Proportional to 2,933,843.60, 4,402,077.60 and 1,416,940.40

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Solution

The fourth proportional to 2,933,843.60, 4,402,077.60 and 1,416,940.40 is: 2,126,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933,843.60 : 4,402,077.60 = 1,416,940.40 : x
  2. Step 2: Convert to fraction form
    2,933,843.60/4,402,077.60 = 1,416,940.40/x
  3. Step 3: Cross multiply
    2,933,843.60x = 4,402,077.60 × 1,416,940.40
  4. Step 4: Simplify right side
    2,933,843.60x = 6,237,481,595,375.04
  5. Step 5: Solve for x
    x = 6,237,481,595,375.04/2,933,843.60
  6. Step 6: Final answer
    x = 2,126,044.35

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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.