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Finding the Fourth Proportional to 650,771.06, 975,997.31 and 271,694.93

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Solution

The fourth proportional to 650,771.06, 975,997.31 and 271,694.93 is: 407,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,771.06 : 975,997.31 = 271,694.93 : x
  2. Step 2: Convert to fraction form
    650,771.06/975,997.31 = 271,694.93/x
  3. Step 3: Cross multiply
    650,771.06x = 975,997.31 × 271,694.93
  4. Step 4: Simplify right side
    650,771.06x = 265,173,514,582.18
  5. Step 5: Solve for x
    x = 265,173,514,582.18/650,771.06
  6. Step 6: Final answer
    x = 407,475.89

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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.