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Finding the Fourth Proportional to 389,094.86, 583,696.86 and 136,317.44

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Solution

The fourth proportional to 389,094.86, 583,696.86 and 136,317.44 is: 204,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,094.86 : 583,696.86 = 136,317.44 : x
  2. Step 2: Convert to fraction form
    389,094.86/583,696.86 = 136,317.44/x
  3. Step 3: Cross multiply
    389,094.86x = 583,696.86 × 136,317.44
  4. Step 4: Simplify right side
    389,094.86x = 79,568,061,691.24
  5. Step 5: Solve for x
    x = 79,568,061,691.24/389,094.86
  6. Step 6: Final answer
    x = 204,495.28

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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.