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Finding the Fourth Proportional to 490,838.40, 736,257.60 and 407,894.40

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Solution

The fourth proportional to 490,838.40, 736,257.60 and 407,894.40 is: 611,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,838.40 : 736,257.60 = 407,894.40 : x
  2. Step 2: Convert to fraction form
    490,838.40/736,257.60 = 407,894.40/x
  3. Step 3: Cross multiply
    490,838.40x = 736,257.60 × 407,894.40
  4. Step 4: Simplify right side
    490,838.40x = 300,315,351,997.44
  5. Step 5: Solve for x
    x = 300,315,351,997.44/490,838.40
  6. Step 6: Final answer
    x = 611,841.60

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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.