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Finding the Fourth Proportional to 471,112, 650,134.56 and 270,024.64

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Solution

The fourth proportional to 471,112, 650,134.56 and 270,024.64 is: 372,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,112 : 650,134.56 = 270,024.64 : x
  2. Step 2: Convert to fraction form
    471,112/650,134.56 = 270,024.64/x
  3. Step 3: Cross multiply
    471,112x = 650,134.56 × 270,024.64
  4. Step 4: Simplify right side
    471,112x = 175,552,350,515.56
  5. Step 5: Solve for x
    x = 175,552,350,515.56/471,112
  6. Step 6: Final answer
    x = 372,634.00

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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.