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Finding the Fourth Proportional to 389,189.51, 583,846.68 and 164,552.31

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Solution

The fourth proportional to 389,189.51, 583,846.68 and 164,552.31 is: 246,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,189.51 : 583,846.68 = 164,552.31 : x
  2. Step 2: Convert to fraction form
    389,189.51/583,846.68 = 164,552.31/x
  3. Step 3: Cross multiply
    389,189.51x = 583,846.68 × 164,552.31
  4. Step 4: Simplify right side
    389,189.51x = 96,073,320,496.90
  5. Step 5: Solve for x
    x = 96,073,320,496.90/389,189.51
  6. Step 6: Final answer
    x = 246,854.86

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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.