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Finding the Fourth Proportional to 389,509.75, 537,523.46 and 210,661.75

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Solution

The fourth proportional to 389,509.75, 537,523.46 and 210,661.75 is: 290,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,509.75 : 537,523.46 = 210,661.75 : x
  2. Step 2: Convert to fraction form
    389,509.75/537,523.46 = 210,661.75/x
  3. Step 3: Cross multiply
    389,509.75x = 537,523.46 × 210,661.75
  4. Step 4: Simplify right side
    389,509.75x = 113,235,631,696.35
  5. Step 5: Solve for x
    x = 113,235,631,696.35/389,509.75
  6. Step 6: Final answer
    x = 290,713.22

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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.