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Finding the Fourth Proportional to 785,262.48, 1,178,243.64 and 411,198

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Solution

The fourth proportional to 785,262.48, 1,178,243.64 and 411,198 is: 616,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,262.48 : 1,178,243.64 = 411,198 : x
  2. Step 2: Convert to fraction form
    785,262.48/1,178,243.64 = 411,198/x
  3. Step 3: Cross multiply
    785,262.48x = 1,178,243.64 × 411,198
  4. Step 4: Simplify right side
    785,262.48x = 484,491,428,280.72
  5. Step 5: Solve for x
    x = 484,491,428,280.72/785,262.48
  6. Step 6: Final answer
    x = 616,980.23

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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.