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Finding the Fourth Proportional to 468,032.26, 701,484.42 and 214,963.60

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Solution

The fourth proportional to 468,032.26, 701,484.42 and 214,963.60 is: 322,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032.26 : 701,484.42 = 214,963.60 : x
  2. Step 2: Convert to fraction form
    468,032.26/701,484.42 = 214,963.60/x
  3. Step 3: Cross multiply
    468,032.26x = 701,484.42 × 214,963.60
  4. Step 4: Simplify right side
    468,032.26x = 150,793,616,267.11
  5. Step 5: Solve for x
    x = 150,793,616,267.11/468,032.26
  6. Step 6: Final answer
    x = 322,186.37

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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.