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Finding the Fourth Proportional to 505,198.82, 697,004.19 and 314,200.82

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Solution

The fourth proportional to 505,198.82, 697,004.19 and 314,200.82 is: 433,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,198.82 : 697,004.19 = 314,200.82 : x
  2. Step 2: Convert to fraction form
    505,198.82/697,004.19 = 314,200.82/x
  3. Step 3: Cross multiply
    505,198.82x = 697,004.19 × 314,200.82
  4. Step 4: Simplify right side
    505,198.82x = 218,999,289,783.95
  5. Step 5: Solve for x
    x = 218,999,289,783.95/505,198.82
  6. Step 6: Final answer
    x = 433,491.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.