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Finding the Fourth Proportional to 512,306.01, 768,495.93 and 196,762.89

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Solution

The fourth proportional to 512,306.01, 768,495.93 and 196,762.89 is: 295,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,306.01 : 768,495.93 = 196,762.89 : x
  2. Step 2: Convert to fraction form
    512,306.01/768,495.93 = 196,762.89/x
  3. Step 3: Cross multiply
    512,306.01x = 768,495.93 × 196,762.89
  4. Step 4: Simplify right side
    512,306.01x = 151,211,480,140.04
  5. Step 5: Solve for x
    x = 151,211,480,140.04/512,306.01
  6. Step 6: Final answer
    x = 295,158.51

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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.