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Finding the Fourth Proportional to 463,881.74, 695,740.39 and 211,103.42

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Solution

The fourth proportional to 463,881.74, 695,740.39 and 211,103.42 is: 316,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,881.74 : 695,740.39 = 211,103.42 : x
  2. Step 2: Convert to fraction form
    463,881.74/695,740.39 = 211,103.42/x
  3. Step 3: Cross multiply
    463,881.74x = 695,740.39 × 211,103.42
  4. Step 4: Simplify right side
    463,881.74x = 146,873,171,754.67
  5. Step 5: Solve for x
    x = 146,873,171,754.67/463,881.74
  6. Step 6: Final answer
    x = 316,617.71

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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.