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Finding the Fourth Proportional to 389,695.50, 537,781.41 and 210,847.50

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Solution

The fourth proportional to 389,695.50, 537,781.41 and 210,847.50 is: 290,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,695.50 : 537,781.41 = 210,847.50 : x
  2. Step 2: Convert to fraction form
    389,695.50/537,781.41 = 210,847.50/x
  3. Step 3: Cross multiply
    389,695.50x = 537,781.41 × 210,847.50
  4. Step 4: Simplify right side
    389,695.50x = 113,389,865,844.98
  5. Step 5: Solve for x
    x = 113,389,865,844.98/389,695.50
  6. Step 6: Final answer
    x = 290,970.43

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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.