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Finding the Fourth Proportional to 442,714.89, 610,943.73 and 251,728.28

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Solution

The fourth proportional to 442,714.89, 610,943.73 and 251,728.28 is: 347,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,714.89 : 610,943.73 = 251,728.28 : x
  2. Step 2: Convert to fraction form
    442,714.89/610,943.73 = 251,728.28/x
  3. Step 3: Cross multiply
    442,714.89x = 610,943.73 × 251,728.28
  4. Step 4: Simplify right side
    442,714.89x = 153,791,812,622.02
  5. Step 5: Solve for x
    x = 153,791,812,622.02/442,714.89
  6. Step 6: Final answer
    x = 347,383.42

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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.