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Finding the Fourth Proportional to 384,818.42, 577,312.82 and 132,093.24

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Solution

The fourth proportional to 384,818.42, 577,312.82 and 132,093.24 is: 198,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,818.42 : 577,312.82 = 132,093.24 : x
  2. Step 2: Convert to fraction form
    384,818.42/577,312.82 = 132,093.24/x
  3. Step 3: Cross multiply
    384,818.42x = 577,312.82 × 132,093.24
  4. Step 4: Simplify right side
    384,818.42x = 76,259,120,226.87
  5. Step 5: Solve for x
    x = 76,259,120,226.87/384,818.42
  6. Step 6: Final answer
    x = 198,169.10

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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.