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Finding the Fourth Proportional to 825,642.72, 1,139,400 and 463,147.20

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Solution

The fourth proportional to 825,642.72, 1,139,400 and 463,147.20 is: 639,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,642.72 : 1,139,400 = 463,147.20 : x
  2. Step 2: Convert to fraction form
    825,642.72/1,139,400 = 463,147.20/x
  3. Step 3: Cross multiply
    825,642.72x = 1,139,400 × 463,147.20
  4. Step 4: Simplify right side
    825,642.72x = 527,709,919,680
  5. Step 5: Solve for x
    x = 527,709,919,680/825,642.72
  6. Step 6: Final answer
    x = 639,150.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.