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Finding the Fourth Proportional to 1,410,912.07, 1,947,064.23 and 766,343.03

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Solution

The fourth proportional to 1,410,912.07, 1,947,064.23 and 766,343.03 is: 1,057,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,912.07 : 1,947,064.23 = 766,343.03 : x
  2. Step 2: Convert to fraction form
    1,410,912.07/1,947,064.23 = 766,343.03/x
  3. Step 3: Cross multiply
    1,410,912.07x = 1,947,064.23 × 766,343.03
  4. Step 4: Simplify right side
    1,410,912.07x = 1,492,119,091,887.50
  5. Step 5: Solve for x
    x = 1,492,119,091,887.50/1,410,912.07
  6. Step 6: Final answer
    x = 1,057,556.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.