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Finding the Fourth Proportional to 5,257,041.20, 7,884,978.60 and 1,470,906.80

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Solution

The fourth proportional to 5,257,041.20, 7,884,978.60 and 1,470,906.80 is: 2,206,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257,041.20 : 7,884,978.60 = 1,470,906.80 : x
  2. Step 2: Convert to fraction form
    5,257,041.20/7,884,978.60 = 1,470,906.80/x
  3. Step 3: Cross multiply
    5,257,041.20x = 7,884,978.60 × 1,470,906.80
  4. Step 4: Simplify right side
    5,257,041.20x = 11,598,068,640,594.48
  5. Step 5: Solve for x
    x = 11,598,068,640,594.48/5,257,041.20
  6. Step 6: Final answer
    x = 2,206,197.02

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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.