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Finding the Fourth Proportional to 1,311,962.89, 1,968,220.50 and 743,616.31

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Solution

The fourth proportional to 1,311,962.89, 1,968,220.50 and 743,616.31 is: 1,115,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,962.89 : 1,968,220.50 = 743,616.31 : x
  2. Step 2: Convert to fraction form
    1,311,962.89/1,968,220.50 = 743,616.31/x
  3. Step 3: Cross multiply
    1,311,962.89x = 1,968,220.50 × 743,616.31
  4. Step 4: Simplify right side
    1,311,962.89x = 1,463,600,865,476.36
  5. Step 5: Solve for x
    x = 1,463,600,865,476.36/1,311,962.89
  6. Step 6: Final answer
    x = 1,115,580.99

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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.