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Finding the Fourth Proportional to 650,714.70, 975,982.05 and 201,744.30

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Solution

The fourth proportional to 650,714.70, 975,982.05 and 201,744.30 is: 302,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,714.70 : 975,982.05 = 201,744.30 : x
  2. Step 2: Convert to fraction form
    650,714.70/975,982.05 = 201,744.30/x
  3. Step 3: Cross multiply
    650,714.70x = 975,982.05 × 201,744.30
  4. Step 4: Simplify right side
    650,714.70x = 196,898,815,489.82
  5. Step 5: Solve for x
    x = 196,898,815,489.82/650,714.70
  6. Step 6: Final answer
    x = 302,588.55

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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.