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Finding the Fourth Proportional to 1,300,769.80, 1,950,863.10 and 854,621.80

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Solution

The fourth proportional to 1,300,769.80, 1,950,863.10 and 854,621.80 is: 1,281,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,769.80 : 1,950,863.10 = 854,621.80 : x
  2. Step 2: Convert to fraction form
    1,300,769.80/1,950,863.10 = 854,621.80/x
  3. Step 3: Cross multiply
    1,300,769.80x = 1,950,863.10 × 854,621.80
  4. Step 4: Simplify right side
    1,300,769.80x = 1,667,250,134,075.58
  5. Step 5: Solve for x
    x = 1,667,250,134,075.58/1,300,769.80
  6. Step 6: Final answer
    x = 1,281,741.12

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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.