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Finding the Fourth Proportional to 512,305.34, 768,495.14 and 196,762.25

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Solution

The fourth proportional to 512,305.34, 768,495.14 and 196,762.25 is: 295,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,305.34 : 768,495.14 = 196,762.25 : x
  2. Step 2: Convert to fraction form
    512,305.34/768,495.14 = 196,762.25/x
  3. Step 3: Cross multiply
    512,305.34x = 768,495.14 × 196,762.25
  4. Step 4: Simplify right side
    512,305.34x = 151,210,828,034.18
  5. Step 5: Solve for x
    x = 151,210,828,034.18/512,305.34
  6. Step 6: Final answer
    x = 295,157.63

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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.