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Finding the Fourth Proportional to 258,941.28, 357,253.44 and 211,112.40

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Solution

The fourth proportional to 258,941.28, 357,253.44 and 211,112.40 is: 291,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,941.28 : 357,253.44 = 211,112.40 : x
  2. Step 2: Convert to fraction form
    258,941.28/357,253.44 = 211,112.40/x
  3. Step 3: Cross multiply
    258,941.28x = 357,253.44 × 211,112.40
  4. Step 4: Simplify right side
    258,941.28x = 75,420,631,126.66
  5. Step 5: Solve for x
    x = 75,420,631,126.66/258,941.28
  6. Step 6: Final answer
    x = 291,265.38

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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.