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Finding the Fourth Proportional to 1,196,508.97, 1,795,945.80 and 523,055.12

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Solution

The fourth proportional to 1,196,508.97, 1,795,945.80 and 523,055.12 is: 785,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,508.97 : 1,795,945.80 = 523,055.12 : x
  2. Step 2: Convert to fraction form
    1,196,508.97/1,795,945.80 = 523,055.12/x
  3. Step 3: Cross multiply
    1,196,508.97x = 1,795,945.80 × 523,055.12
  4. Step 4: Simplify right side
    1,196,508.97x = 939,378,645,932.50
  5. Step 5: Solve for x
    x = 939,378,645,932.50/1,196,508.97
  6. Step 6: Final answer
    x = 785,099.54

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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.