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Finding the Fourth Proportional to 646,914.80, 970,372.20 and 366,978.80

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Solution

The fourth proportional to 646,914.80, 970,372.20 and 366,978.80 is: 550,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,914.80 : 970,372.20 = 366,978.80 : x
  2. Step 2: Convert to fraction form
    646,914.80/970,372.20 = 366,978.80/x
  3. Step 3: Cross multiply
    646,914.80x = 970,372.20 × 366,978.80
  4. Step 4: Simplify right side
    646,914.80x = 356,106,025,509.36
  5. Step 5: Solve for x
    x = 356,106,025,509.36/646,914.80
  6. Step 6: Final answer
    x = 550,468.20

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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.