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Finding the Fourth Proportional to 1,786,464.50, 2,678,190.23 and 774,824.54

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Solution

The fourth proportional to 1,786,464.50, 2,678,190.23 and 774,824.54 is: 1,161,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,464.50 : 2,678,190.23 = 774,824.54 : x
  2. Step 2: Convert to fraction form
    1,786,464.50/2,678,190.23 = 774,824.54/x
  3. Step 3: Cross multiply
    1,786,464.50x = 2,678,190.23 × 774,824.54
  4. Step 4: Simplify right side
    1,786,464.50x = 2,075,127,519,031.12
  5. Step 5: Solve for x
    x = 2,075,127,519,031.12/1,786,464.50
  6. Step 6: Final answer
    x = 1,161,583.40

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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.