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Finding the Fourth Proportional to 476,630.82, 714,945.83 and 121,644.81

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Solution

The fourth proportional to 476,630.82, 714,945.83 and 121,644.81 is: 182,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,630.82 : 714,945.83 = 121,644.81 : x
  2. Step 2: Convert to fraction form
    476,630.82/714,945.83 = 121,644.81/x
  3. Step 3: Cross multiply
    476,630.82x = 714,945.83 × 121,644.81
  4. Step 4: Simplify right side
    476,630.82x = 86,969,449,042.42
  5. Step 5: Solve for x
    x = 86,969,449,042.42/476,630.82
  6. Step 6: Final answer
    x = 182,467.11

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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.