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Finding the Fourth Proportional to 1,099,938.30, 1,649,907.45 and 966,968.70

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Solution

The fourth proportional to 1,099,938.30, 1,649,907.45 and 966,968.70 is: 1,450,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,938.30 : 1,649,907.45 = 966,968.70 : x
  2. Step 2: Convert to fraction form
    1,099,938.30/1,649,907.45 = 966,968.70/x
  3. Step 3: Cross multiply
    1,099,938.30x = 1,649,907.45 × 966,968.70
  4. Step 4: Simplify right side
    1,099,938.30x = 1,595,408,862,046.82
  5. Step 5: Solve for x
    x = 1,595,408,862,046.82/1,099,938.30
  6. Step 6: Final answer
    x = 1,450,453.05

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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.