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Finding the Fourth Proportional to 512,271.30, 768,506.58 and 196,705.02

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Solution

The fourth proportional to 512,271.30, 768,506.58 and 196,705.02 is: 295,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,271.30 : 768,506.58 = 196,705.02 : x
  2. Step 2: Convert to fraction form
    512,271.30/768,506.58 = 196,705.02/x
  3. Step 3: Cross multiply
    512,271.30x = 768,506.58 × 196,705.02
  4. Step 4: Simplify right side
    512,271.30x = 151,169,102,189.03
  5. Step 5: Solve for x
    x = 151,169,102,189.03/512,271.30
  6. Step 6: Final answer
    x = 295,095.79

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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.