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Finding the Fourth Proportional to 820,512.45, 1,230,768.68 and 820,512.45

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Solution

The fourth proportional to 820,512.45, 1,230,768.68 and 820,512.45 is: 1,230,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,512.45 : 1,230,768.68 = 820,512.45 : x
  2. Step 2: Convert to fraction form
    820,512.45/1,230,768.68 = 820,512.45/x
  3. Step 3: Cross multiply
    820,512.45x = 1,230,768.68 × 820,512.45
  4. Step 4: Simplify right side
    820,512.45x = 1,009,861,020,907.50
  5. Step 5: Solve for x
    x = 1,009,861,020,907.50/820,512.45
  6. Step 6: Final answer
    x = 1,230,768.68

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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.