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Finding the Fourth Proportional to 383,862.72, 529,731.36 and 214,092.48

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Solution

The fourth proportional to 383,862.72, 529,731.36 and 214,092.48 is: 295,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,862.72 : 529,731.36 = 214,092.48 : x
  2. Step 2: Convert to fraction form
    383,862.72/529,731.36 = 214,092.48/x
  3. Step 3: Cross multiply
    383,862.72x = 529,731.36 × 214,092.48
  4. Step 4: Simplify right side
    383,862.72x = 113,411,500,596.17
  5. Step 5: Solve for x
    x = 113,411,500,596.17/383,862.72
  6. Step 6: Final answer
    x = 295,448.07

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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.