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Finding the Fourth Proportional to 310,251.50, 465,378.46 and 205,047.08

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Solution

The fourth proportional to 310,251.50, 465,378.46 and 205,047.08 is: 307,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,251.50 : 465,378.46 = 205,047.08 : x
  2. Step 2: Convert to fraction form
    310,251.50/465,378.46 = 205,047.08/x
  3. Step 3: Cross multiply
    310,251.50x = 465,378.46 × 205,047.08
  4. Step 4: Simplify right side
    310,251.50x = 95,424,494,376.95
  5. Step 5: Solve for x
    x = 95,424,494,376.95/310,251.50
  6. Step 6: Final answer
    x = 307,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.