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Finding the Fourth Proportional to 1,786,541.85, 2,678,306.29 and 774,902.16

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Solution

The fourth proportional to 1,786,541.85, 2,678,306.29 and 774,902.16 is: 1,161,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,541.85 : 2,678,306.29 = 774,902.16 : x
  2. Step 2: Convert to fraction form
    1,786,541.85/2,678,306.29 = 774,902.16/x
  3. Step 3: Cross multiply
    1,786,541.85x = 2,678,306.29 × 774,902.16
  4. Step 4: Simplify right side
    1,786,541.85x = 2,075,425,327,325.33
  5. Step 5: Solve for x
    x = 2,075,425,327,325.33/1,786,541.85
  6. Step 6: Final answer
    x = 1,161,699.81

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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.