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Finding the Fourth Proportional to 490,229.43, 735,344.71 and 153,271.84

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Solution

The fourth proportional to 490,229.43, 735,344.71 and 153,271.84 is: 229,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,229.43 : 735,344.71 = 153,271.84 : x
  2. Step 2: Convert to fraction form
    490,229.43/735,344.71 = 153,271.84/x
  3. Step 3: Cross multiply
    490,229.43x = 735,344.71 × 153,271.84
  4. Step 4: Simplify right side
    490,229.43x = 112,707,636,735.97
  5. Step 5: Solve for x
    x = 112,707,636,735.97/490,229.43
  6. Step 6: Final answer
    x = 229,907.94

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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.