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Finding the Fourth Proportional to 511,209.83, 705,500.38 and 281,766.80

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Solution

The fourth proportional to 511,209.83, 705,500.38 and 281,766.80 is: 388,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,209.83 : 705,500.38 = 281,766.80 : x
  2. Step 2: Convert to fraction form
    511,209.83/705,500.38 = 281,766.80/x
  3. Step 3: Cross multiply
    511,209.83x = 705,500.38 × 281,766.80
  4. Step 4: Simplify right side
    511,209.83x = 198,786,586,587.34
  5. Step 5: Solve for x
    x = 198,786,586,587.34/511,209.83
  6. Step 6: Final answer
    x = 388,855.17

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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.