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Finding the Fourth Proportional to 1,311,721.31, 1,968,703.49 and 513,563.36

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Solution

The fourth proportional to 1,311,721.31, 1,968,703.49 and 513,563.36 is: 770,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,721.31 : 1,968,703.49 = 513,563.36 : x
  2. Step 2: Convert to fraction form
    1,311,721.31/1,968,703.49 = 513,563.36/x
  3. Step 3: Cross multiply
    1,311,721.31x = 1,968,703.49 × 513,563.36
  4. Step 4: Simplify right side
    1,311,721.31x = 1,011,053,966,756.79
  5. Step 5: Solve for x
    x = 1,011,053,966,756.79/1,311,721.31
  6. Step 6: Final answer
    x = 770,784.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.