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Finding the Fourth Proportional to 591,392.16, 886,991.15 and 164,957

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Solution

The fourth proportional to 591,392.16, 886,991.15 and 164,957 is: 247,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,392.16 : 886,991.15 = 164,957 : x
  2. Step 2: Convert to fraction form
    591,392.16/886,991.15 = 164,957/x
  3. Step 3: Cross multiply
    591,392.16x = 886,991.15 × 164,957
  4. Step 4: Simplify right side
    591,392.16x = 146,315,399,130.55
  5. Step 5: Solve for x
    x = 146,315,399,130.55/591,392.16
  6. Step 6: Final answer
    x = 247,408.42

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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.