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Finding the Fourth Proportional to 511,514, 705,913.56 and 285,159.44

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Solution

The fourth proportional to 511,514, 705,913.56 and 285,159.44 is: 393,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,514 : 705,913.56 = 285,159.44 : x
  2. Step 2: Convert to fraction form
    511,514/705,913.56 = 285,159.44/x
  3. Step 3: Cross multiply
    511,514x = 705,913.56 × 285,159.44
  4. Step 4: Simplify right side
    511,514x = 201,297,915,458.01
  5. Step 5: Solve for x
    x = 201,297,915,458.01/511,514
  6. Step 6: Final answer
    x = 393,533.54

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1.5x scale

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.