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Finding the Fourth Proportional to 1,096,441, 1,644,903.42 and 465,893.80

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Solution

The fourth proportional to 1,096,441, 1,644,903.42 and 465,893.80 is: 698,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,441 : 1,644,903.42 = 465,893.80 : x
  2. Step 2: Convert to fraction form
    1,096,441/1,644,903.42 = 465,893.80/x
  3. Step 3: Cross multiply
    1,096,441x = 1,644,903.42 × 465,893.80
  4. Step 4: Simplify right side
    1,096,441x = 766,350,304,976.80
  5. Step 5: Solve for x
    x = 766,350,304,976.80/1,096,441
  6. Step 6: Final answer
    x = 698,943.50

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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.