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Finding the Fourth Proportional to 389,322, 537,264.48 and 210,474

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Solution

The fourth proportional to 389,322, 537,264.48 and 210,474 is: 290,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,322 : 537,264.48 = 210,474 : x
  2. Step 2: Convert to fraction form
    389,322/537,264.48 = 210,474/x
  3. Step 3: Cross multiply
    389,322x = 537,264.48 × 210,474
  4. Step 4: Simplify right side
    389,322x = 113,080,204,163.52
  5. Step 5: Solve for x
    x = 113,080,204,163.52/389,322
  6. Step 6: Final answer
    x = 290,454.18

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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.