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Finding the Fourth Proportional to 511,463.25, 705,819.33 and 285,108.75

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Solution

The fourth proportional to 511,463.25, 705,819.33 and 285,108.75 is: 393,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,463.25 : 705,819.33 = 285,108.75 : x
  2. Step 2: Convert to fraction form
    511,463.25/705,819.33 = 285,108.75/x
  3. Step 3: Cross multiply
    511,463.25x = 705,819.33 × 285,108.75
  4. Step 4: Simplify right side
    511,463.25x = 201,235,266,902.14
  5. Step 5: Solve for x
    x = 201,235,266,902.14/511,463.25
  6. Step 6: Final answer
    x = 393,450.10

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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.