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Finding the Fourth Proportional to 734,648.44, 1,013,744.82 and 412,284.64

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Solution

The fourth proportional to 734,648.44, 1,013,744.82 and 412,284.64 is: 568,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,648.44 : 1,013,744.82 = 412,284.64 : x
  2. Step 2: Convert to fraction form
    734,648.44/1,013,744.82 = 412,284.64/x
  3. Step 3: Cross multiply
    734,648.44x = 1,013,744.82 × 412,284.64
  4. Step 4: Simplify right side
    734,648.44x = 417,951,418,165.57
  5. Step 5: Solve for x
    x = 417,951,418,165.57/734,648.44
  6. Step 6: Final answer
    x = 568,913.50

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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.