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Finding the Fourth Proportional to 463,201.84, 694,085.37 and 321,323.05

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Solution

The fourth proportional to 463,201.84, 694,085.37 and 321,323.05 is: 481,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,201.84 : 694,085.37 = 321,323.05 : x
  2. Step 2: Convert to fraction form
    463,201.84/694,085.37 = 321,323.05/x
  3. Step 3: Cross multiply
    463,201.84x = 694,085.37 × 321,323.05
  4. Step 4: Simplify right side
    463,201.84x = 223,025,628,048.78
  5. Step 5: Solve for x
    x = 223,025,628,048.78/463,201.84
  6. Step 6: Final answer
    x = 481,486.92

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1.5x scale

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.