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Finding the Fourth Proportional to 1,102,035.40, 1,649,942.70 and 1,102,035.40

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Solution

The fourth proportional to 1,102,035.40, 1,649,942.70 and 1,102,035.40 is: 1,649,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,035.40 : 1,649,942.70 = 1,102,035.40 : x
  2. Step 2: Convert to fraction form
    1,102,035.40/1,649,942.70 = 1,102,035.40/x
  3. Step 3: Cross multiply
    1,102,035.40x = 1,649,942.70 × 1,102,035.40
  4. Step 4: Simplify right side
    1,102,035.40x = 1,818,295,263,371.58
  5. Step 5: Solve for x
    x = 1,818,295,263,371.58/1,102,035.40
  6. Step 6: Final answer
    x = 1,649,942.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.