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Finding the Fourth Proportional to 466,457.94, 643,704.17 and 262,508.85

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Solution

The fourth proportional to 466,457.94, 643,704.17 and 262,508.85 is: 362,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,457.94 : 643,704.17 = 262,508.85 : x
  2. Step 2: Convert to fraction form
    466,457.94/643,704.17 = 262,508.85/x
  3. Step 3: Cross multiply
    466,457.94x = 643,704.17 × 262,508.85
  4. Step 4: Simplify right side
    466,457.94x = 168,978,040,094.36
  5. Step 5: Solve for x
    x = 168,978,040,094.36/466,457.94
  6. Step 6: Final answer
    x = 362,257.83

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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.