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Finding the Fourth Proportional to 1,023,982.79, 1,537,967.39 and 834,583.12

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Solution

The fourth proportional to 1,023,982.79, 1,537,967.39 and 834,583.12 is: 1,253,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,982.79 : 1,537,967.39 = 834,583.12 : x
  2. Step 2: Convert to fraction form
    1,023,982.79/1,537,967.39 = 834,583.12/x
  3. Step 3: Cross multiply
    1,023,982.79x = 1,537,967.39 × 834,583.12
  4. Step 4: Simplify right side
    1,023,982.79x = 1,283,561,614,786.62
  5. Step 5: Solve for x
    x = 1,283,561,614,786.62/1,023,982.79
  6. Step 6: Final answer
    x = 1,253,499.21

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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.