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Finding the Fourth Proportional to 511,770.24, 706,241.16 and 285,415.56

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Solution

The fourth proportional to 511,770.24, 706,241.16 and 285,415.56 is: 393,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,770.24 : 706,241.16 = 285,415.56 : x
  2. Step 2: Convert to fraction form
    511,770.24/706,241.16 = 285,415.56/x
  3. Step 3: Cross multiply
    511,770.24x = 706,241.16 × 285,415.56
  4. Step 4: Simplify right side
    511,770.24x = 201,572,216,176.45
  5. Step 5: Solve for x
    x = 201,572,216,176.45/511,770.24
  6. Step 6: Final answer
    x = 393,872.48

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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.