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Finding the Fourth Proportional to 389,510, 537,523.80 and 210,662

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Solution

The fourth proportional to 389,510, 537,523.80 and 210,662 is: 290,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,510 : 537,523.80 = 210,662 : x
  2. Step 2: Convert to fraction form
    389,510/537,523.80 = 210,662/x
  3. Step 3: Cross multiply
    389,510x = 537,523.80 × 210,662
  4. Step 4: Simplify right side
    389,510x = 113,235,838,755.60
  5. Step 5: Solve for x
    x = 113,235,838,755.60/389,510
  6. Step 6: Final answer
    x = 290,713.56

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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.