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Finding the Fourth Proportional to 492,559.80, 738,839.70 and 282,024.60

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Solution

The fourth proportional to 492,559.80, 738,839.70 and 282,024.60 is: 423,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,559.80 : 738,839.70 = 282,024.60 : x
  2. Step 2: Convert to fraction form
    492,559.80/738,839.70 = 282,024.60/x
  3. Step 3: Cross multiply
    492,559.80x = 738,839.70 × 282,024.60
  4. Step 4: Simplify right side
    492,559.80x = 208,370,970,856.62
  5. Step 5: Solve for x
    x = 208,370,970,856.62/492,559.80
  6. Step 6: Final answer
    x = 423,036.90

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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.