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Finding the Fourth Proportional to 1,266,553.07, 1,747,830.12 and 685,766.21

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Solution

The fourth proportional to 1,266,553.07, 1,747,830.12 and 685,766.21 is: 946,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,553.07 : 1,747,830.12 = 685,766.21 : x
  2. Step 2: Convert to fraction form
    1,266,553.07/1,747,830.12 = 685,766.21/x
  3. Step 3: Cross multiply
    1,266,553.07x = 1,747,830.12 × 685,766.21
  4. Step 4: Simplify right side
    1,266,553.07x = 1,198,602,837,116.25
  5. Step 5: Solve for x
    x = 1,198,602,837,116.25/1,266,553.07
  6. Step 6: Final answer
    x = 946,350.27

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Why These Related Problems?

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