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Finding the Fourth Proportional to 543,873.14, 815,725.47 and 277,830.26

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Solution

The fourth proportional to 543,873.14, 815,725.47 and 277,830.26 is: 416,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,873.14 : 815,725.47 = 277,830.26 : x
  2. Step 2: Convert to fraction form
    543,873.14/815,725.47 = 277,830.26/x
  3. Step 3: Cross multiply
    543,873.14x = 815,725.47 × 277,830.26
  4. Step 4: Simplify right side
    543,873.14x = 226,633,219,418.72
  5. Step 5: Solve for x
    x = 226,633,219,418.72/543,873.14
  6. Step 6: Final answer
    x = 416,702.36

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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.