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Finding the Fourth Proportional to 511,396.89, 705,712.43 and 278,814.90

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Solution

The fourth proportional to 511,396.89, 705,712.43 and 278,814.90 is: 384,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,396.89 : 705,712.43 = 278,814.90 : x
  2. Step 2: Convert to fraction form
    511,396.89/705,712.43 = 278,814.90/x
  3. Step 3: Cross multiply
    511,396.89x = 705,712.43 × 278,814.90
  4. Step 4: Simplify right side
    511,396.89x = 196,763,139,205.13
  5. Step 5: Solve for x
    x = 196,763,139,205.13/511,396.89
  6. Step 6: Final answer
    x = 384,756.23

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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.