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Finding the Fourth Proportional to 488,143.31, 731,940.76 and 334,442.77

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Solution

The fourth proportional to 488,143.31, 731,940.76 and 334,442.77 is: 501,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,143.31 : 731,940.76 = 334,442.77 : x
  2. Step 2: Convert to fraction form
    488,143.31/731,940.76 = 334,442.77/x
  3. Step 3: Cross multiply
    488,143.31x = 731,940.76 × 334,442.77
  4. Step 4: Simplify right side
    488,143.31x = 244,792,296,074.43
  5. Step 5: Solve for x
    x = 244,792,296,074.43/488,143.31
  6. Step 6: Final answer
    x = 501,476.29

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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.