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Finding the Fourth Proportional to 389,022.32, 583,241.88 and 164,645.84

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Solution

The fourth proportional to 389,022.32, 583,241.88 and 164,645.84 is: 246,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,022.32 : 583,241.88 = 164,645.84 : x
  2. Step 2: Convert to fraction form
    389,022.32/583,241.88 = 164,645.84/x
  3. Step 3: Cross multiply
    389,022.32x = 583,241.88 × 164,645.84
  4. Step 4: Simplify right side
    389,022.32x = 96,028,349,255.78
  5. Step 5: Solve for x
    x = 96,028,349,255.78/389,022.32
  6. Step 6: Final answer
    x = 246,845.35

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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.