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Finding the Fourth Proportional to 650,908.16, 976,518.12 and 271,617.90

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Solution

The fourth proportional to 650,908.16, 976,518.12 and 271,617.90 is: 407,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,908.16 : 976,518.12 = 271,617.90 : x
  2. Step 2: Convert to fraction form
    650,908.16/976,518.12 = 271,617.90/x
  3. Step 3: Cross multiply
    650,908.16x = 976,518.12 × 271,617.90
  4. Step 4: Simplify right side
    650,908.16x = 265,239,801,066.35
  5. Step 5: Solve for x
    x = 265,239,801,066.35/650,908.16
  6. Step 6: Final answer
    x = 407,491.90

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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.