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Finding the Fourth Proportional to 767,230, 1,150,796.80 and 234,708.72

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Solution

The fourth proportional to 767,230, 1,150,796.80 and 234,708.72 is: 352,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,230 : 1,150,796.80 = 234,708.72 : x
  2. Step 2: Convert to fraction form
    767,230/1,150,796.80 = 234,708.72/x
  3. Step 3: Cross multiply
    767,230x = 1,150,796.80 × 234,708.72
  4. Step 4: Simplify right side
    767,230x = 270,102,043,908.10
  5. Step 5: Solve for x
    x = 270,102,043,908.10/767,230
  6. Step 6: Final answer
    x = 352,048.33

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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.