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Finding the Fourth Proportional to 384,926.64, 577,246.32 and 132,135.48

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Solution

The fourth proportional to 384,926.64, 577,246.32 and 132,135.48 is: 198,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,926.64 : 577,246.32 = 132,135.48 : x
  2. Step 2: Convert to fraction form
    384,926.64/577,246.32 = 132,135.48/x
  3. Step 3: Cross multiply
    384,926.64x = 577,246.32 × 132,135.48
  4. Step 4: Simplify right side
    384,926.64x = 76,274,719,571.43
  5. Step 5: Solve for x
    x = 76,274,719,571.43/384,926.64
  6. Step 6: Final answer
    x = 198,153.91

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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.