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Finding the Fourth Proportional to 1,581,934.83, 2,372,525.88 and 682,884.63

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Solution

The fourth proportional to 1,581,934.83, 2,372,525.88 and 682,884.63 is: 1,024,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,934.83 : 2,372,525.88 = 682,884.63 : x
  2. Step 2: Convert to fraction form
    1,581,934.83/2,372,525.88 = 682,884.63/x
  3. Step 3: Cross multiply
    1,581,934.83x = 2,372,525.88 × 682,884.63
  4. Step 4: Simplify right side
    1,581,934.83x = 1,620,161,457,729.22
  5. Step 5: Solve for x
    x = 1,620,161,457,729.22/1,581,934.83
  6. Step 6: Final answer
    x = 1,024,164.48

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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.