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Finding the Fourth Proportional to 511,770.69, 706,015.24 and 296,786.23

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Solution

The fourth proportional to 511,770.69, 706,015.24 and 296,786.23 is: 409,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,770.69 : 706,015.24 = 296,786.23 : x
  2. Step 2: Convert to fraction form
    511,770.69/706,015.24 = 296,786.23/x
  3. Step 3: Cross multiply
    511,770.69x = 706,015.24 × 296,786.23
  4. Step 4: Simplify right side
    511,770.69x = 209,535,598,895.14
  5. Step 5: Solve for x
    x = 209,535,598,895.14/511,770.69
  6. Step 6: Final answer
    x = 409,432.59

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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.