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Finding the Fourth Proportional to 1,097,308.22, 1,645,796 and 298,652

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Solution

The fourth proportional to 1,097,308.22, 1,645,796 and 298,652 is: 447,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,308.22 : 1,645,796 = 298,652 : x
  2. Step 2: Convert to fraction form
    1,097,308.22/1,645,796 = 298,652/x
  3. Step 3: Cross multiply
    1,097,308.22x = 1,645,796 × 298,652
  4. Step 4: Simplify right side
    1,097,308.22x = 491,520,266,992
  5. Step 5: Solve for x
    x = 491,520,266,992/1,097,308.22
  6. Step 6: Final answer
    x = 447,932.73

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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.