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Finding the Fourth Proportional to 511,291.44, 705,586.95 and 281,857.52

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Solution

The fourth proportional to 511,291.44, 705,586.95 and 281,857.52 is: 388,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,291.44 : 705,586.95 = 281,857.52 : x
  2. Step 2: Convert to fraction form
    511,291.44/705,586.95 = 281,857.52/x
  3. Step 3: Cross multiply
    511,291.44x = 705,586.95 × 281,857.52
  4. Step 4: Simplify right side
    511,291.44x = 198,874,989,635.33
  5. Step 5: Solve for x
    x = 198,874,989,635.33/511,291.44
  6. Step 6: Final answer
    x = 388,966.01

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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.