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Finding the Fourth Proportional to 1,568,235, 2,164,164.30 and 852,843

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Solution

The fourth proportional to 1,568,235, 2,164,164.30 and 852,843 is: 1,176,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568,235 : 2,164,164.30 = 852,843 : x
  2. Step 2: Convert to fraction form
    1,568,235/2,164,164.30 = 852,843/x
  3. Step 3: Cross multiply
    1,568,235x = 2,164,164.30 × 852,843
  4. Step 4: Simplify right side
    1,568,235x = 1,845,692,374,104.90
  5. Step 5: Solve for x
    x = 1,845,692,374,104.90/1,568,235
  6. Step 6: Final answer
    x = 1,176,923.34

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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.