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Finding the Fourth Proportional to 481,094.02, 663,920.58 and 311,623.12

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Solution

The fourth proportional to 481,094.02, 663,920.58 and 311,623.12 is: 430,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,094.02 : 663,920.58 = 311,623.12 : x
  2. Step 2: Convert to fraction form
    481,094.02/663,920.58 = 311,623.12/x
  3. Step 3: Cross multiply
    481,094.02x = 663,920.58 × 311,623.12
  4. Step 4: Simplify right side
    481,094.02x = 206,893,002,571.81
  5. Step 5: Solve for x
    x = 206,893,002,571.81/481,094.02
  6. Step 6: Final answer
    x = 430,046.92

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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.