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Finding the Fourth Proportional to 511,466.44, 705,823.73 and 285,111.94

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Solution

The fourth proportional to 511,466.44, 705,823.73 and 285,111.94 is: 393,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,466.44 : 705,823.73 = 285,111.94 : x
  2. Step 2: Convert to fraction form
    511,466.44/705,823.73 = 285,111.94/x
  3. Step 3: Cross multiply
    511,466.44x = 705,823.73 × 285,111.94
  4. Step 4: Simplify right side
    511,466.44x = 201,238,772,958.34
  5. Step 5: Solve for x
    x = 201,238,772,958.34/511,466.44
  6. Step 6: Final answer
    x = 393,454.50

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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.