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Finding the Fourth Proportional to 492,047.40, 738,362.70 and 324,049.35

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Solution

The fourth proportional to 492,047.40, 738,362.70 and 324,049.35 is: 486,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,047.40 : 738,362.70 = 324,049.35 : x
  2. Step 2: Convert to fraction form
    492,047.40/738,362.70 = 324,049.35/x
  3. Step 3: Cross multiply
    492,047.40x = 738,362.70 × 324,049.35
  4. Step 4: Simplify right side
    492,047.40x = 239,265,952,999.25
  5. Step 5: Solve for x
    x = 239,265,952,999.25/492,047.40
  6. Step 6: Final answer
    x = 486,266.07

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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.