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Finding the Fourth Proportional to 511,771.17, 706,015.89 and 296,786.64

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Solution

The fourth proportional to 511,771.17, 706,015.89 and 296,786.64 is: 409,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,771.17 : 706,015.89 = 296,786.64 : x
  2. Step 2: Convert to fraction form
    511,771.17/706,015.89 = 296,786.64/x
  3. Step 3: Cross multiply
    511,771.17x = 706,015.89 × 296,786.64
  4. Step 4: Simplify right side
    511,771.17x = 209,536,083,779.71
  5. Step 5: Solve for x
    x = 209,536,083,779.71/511,771.17
  6. Step 6: Final answer
    x = 409,433.15

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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.