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Finding the Fourth Proportional to 734,562.71, 1,013,696.55 and 412,272.80

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Solution

The fourth proportional to 734,562.71, 1,013,696.55 and 412,272.80 is: 568,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,562.71 : 1,013,696.55 = 412,272.80 : x
  2. Step 2: Convert to fraction form
    734,562.71/1,013,696.55 = 412,272.80/x
  3. Step 3: Cross multiply
    734,562.71x = 1,013,696.55 × 412,272.80
  4. Step 4: Simplify right side
    734,562.71x = 417,919,518,294.25
  5. Step 5: Solve for x
    x = 417,919,518,294.25/734,562.71
  6. Step 6: Final answer
    x = 568,936.48

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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.