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Finding the Fourth Proportional to 511,771.67, 706,016.58 and 296,787.14

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Solution

The fourth proportional to 511,771.67, 706,016.58 and 296,787.14 is: 409,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,771.67 : 706,016.58 = 296,787.14 : x
  2. Step 2: Convert to fraction form
    511,771.67/706,016.58 = 296,787.14/x
  3. Step 3: Cross multiply
    511,771.67x = 706,016.58 × 296,787.14
  4. Step 4: Simplify right side
    511,771.67x = 209,536,641,570.78
  5. Step 5: Solve for x
    x = 209,536,641,570.78/511,771.67
  6. Step 6: Final answer
    x = 409,433.84

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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.