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Finding the Fourth Proportional to 476,704.20, 714,473.10 and 210,181.80

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Solution

The fourth proportional to 476,704.20, 714,473.10 and 210,181.80 is: 315,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,704.20 : 714,473.10 = 210,181.80 : x
  2. Step 2: Convert to fraction form
    476,704.20/714,473.10 = 210,181.80/x
  3. Step 3: Cross multiply
    476,704.20x = 714,473.10 × 210,181.80
  4. Step 4: Simplify right side
    476,704.20x = 150,169,242,209.58
  5. Step 5: Solve for x
    x = 150,169,242,209.58/476,704.20
  6. Step 6: Final answer
    x = 315,015.56

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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.