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Finding the Fourth Proportional to 511,012.92, 705,197.70 and 281,573.40

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Solution

The fourth proportional to 511,012.92, 705,197.70 and 281,573.40 is: 388,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,012.92 : 705,197.70 = 281,573.40 : x
  2. Step 2: Convert to fraction form
    511,012.92/705,197.70 = 281,573.40/x
  3. Step 3: Cross multiply
    511,012.92x = 705,197.70 × 281,573.40
  4. Step 4: Simplify right side
    511,012.92x = 198,564,914,061.18
  5. Step 5: Solve for x
    x = 198,564,914,061.18/511,012.92
  6. Step 6: Final answer
    x = 388,571.22

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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.