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Finding the Fourth Proportional to 315,706, 473,745.83 and 116,166.51

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Solution

The fourth proportional to 315,706, 473,745.83 and 116,166.51 is: 174,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,706 : 473,745.83 = 116,166.51 : x
  2. Step 2: Convert to fraction form
    315,706/473,745.83 = 116,166.51/x
  3. Step 3: Cross multiply
    315,706x = 473,745.83 × 116,166.51
  4. Step 4: Simplify right side
    315,706x = 55,033,399,698.15
  5. Step 5: Solve for x
    x = 55,033,399,698.15/315,706
  6. Step 6: Final answer
    x = 174,318.51

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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.