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Finding the Fourth Proportional to 476,843.70, 714,682.35 and 210,321.30

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Solution

The fourth proportional to 476,843.70, 714,682.35 and 210,321.30 is: 315,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,843.70 : 714,682.35 = 210,321.30 : x
  2. Step 2: Convert to fraction form
    476,843.70/714,682.35 = 210,321.30/x
  3. Step 3: Cross multiply
    476,843.70x = 714,682.35 × 210,321.30
  4. Step 4: Simplify right side
    476,843.70x = 150,312,920,939.06
  5. Step 5: Solve for x
    x = 150,312,920,939.06/476,843.70
  6. Step 6: Final answer
    x = 315,224.72

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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.