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Finding the Fourth Proportional to 1,159,209.07, 1,738,792.84 and 475,947.56

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Solution

The fourth proportional to 1,159,209.07, 1,738,792.84 and 475,947.56 is: 713,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,209.07 : 1,738,792.84 = 475,947.56 : x
  2. Step 2: Convert to fraction form
    1,159,209.07/1,738,792.84 = 475,947.56/x
  3. Step 3: Cross multiply
    1,159,209.07x = 1,738,792.84 × 475,947.56
  4. Step 4: Simplify right side
    1,159,209.07x = 827,574,200,849.51
  5. Step 5: Solve for x
    x = 827,574,200,849.51/1,159,209.07
  6. Step 6: Final answer
    x = 713,912.81

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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.