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Finding the Fourth Proportional to 389,505.50, 537,517.74 and 210,657.50

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Solution

The fourth proportional to 389,505.50, 537,517.74 and 210,657.50 is: 290,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,505.50 : 537,517.74 = 210,657.50 : x
  2. Step 2: Convert to fraction form
    389,505.50/537,517.74 = 210,657.50/x
  3. Step 3: Cross multiply
    389,505.50x = 537,517.74 × 210,657.50
  4. Step 4: Simplify right side
    389,505.50x = 113,232,143,314.05
  5. Step 5: Solve for x
    x = 113,232,143,314.05/389,505.50
  6. Step 6: Final answer
    x = 290,707.43

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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.