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Finding the Fourth Proportional to 466,284.62, 698,511.66 and 241,791.80

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Solution

The fourth proportional to 466,284.62, 698,511.66 and 241,791.80 is: 362,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,284.62 : 698,511.66 = 241,791.80 : x
  2. Step 2: Convert to fraction form
    466,284.62/698,511.66 = 241,791.80/x
  3. Step 3: Cross multiply
    466,284.62x = 698,511.66 × 241,791.80
  4. Step 4: Simplify right side
    466,284.62x = 168,894,388,099.83
  5. Step 5: Solve for x
    x = 168,894,388,099.83/466,284.62
  6. Step 6: Final answer
    x = 362,213.08

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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.