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Finding the Fourth Proportional to 584,099.75, 806,422.57 and 447,872.01

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Solution

The fourth proportional to 584,099.75, 806,422.57 and 447,872.01 is: 618,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,099.75 : 806,422.57 = 447,872.01 : x
  2. Step 2: Convert to fraction form
    584,099.75/806,422.57 = 447,872.01/x
  3. Step 3: Cross multiply
    584,099.75x = 806,422.57 × 447,872.01
  4. Step 4: Simplify right side
    584,099.75x = 361,174,096,215.59
  5. Step 5: Solve for x
    x = 361,174,096,215.59/584,099.75
  6. Step 6: Final answer
    x = 618,343.18

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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.