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Finding the Fourth Proportional to 853,902.41, 1,178,339.27 and 471,906.41

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Solution

The fourth proportional to 853,902.41, 1,178,339.27 and 471,906.41 is: 651,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,902.41 : 1,178,339.27 = 471,906.41 : x
  2. Step 2: Convert to fraction form
    853,902.41/1,178,339.27 = 471,906.41/x
  3. Step 3: Cross multiply
    853,902.41x = 1,178,339.27 × 471,906.41
  4. Step 4: Simplify right side
    853,902.41x = 556,065,846,416.49
  5. Step 5: Solve for x
    x = 556,065,846,416.49/853,902.41
  6. Step 6: Final answer
    x = 651,205.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.