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Finding the Fourth Proportional to 511,164.53, 705,378.30 and 281,721.14

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Solution

The fourth proportional to 511,164.53, 705,378.30 and 281,721.14 is: 388,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,164.53 : 705,378.30 = 281,721.14 : x
  2. Step 2: Convert to fraction form
    511,164.53/705,378.30 = 281,721.14/x
  3. Step 3: Cross multiply
    511,164.53x = 705,378.30 × 281,721.14
  4. Step 4: Simplify right side
    511,164.53x = 198,719,975,280.37
  5. Step 5: Solve for x
    x = 198,719,975,280.37/511,164.53
  6. Step 6: Final answer
    x = 388,759.32

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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.