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Finding the Fourth Proportional to 490,408.40, 735,612.60 and 253,823.60

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Solution

The fourth proportional to 490,408.40, 735,612.60 and 253,823.60 is: 380,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,408.40 : 735,612.60 = 253,823.60 : x
  2. Step 2: Convert to fraction form
    490,408.40/735,612.60 = 253,823.60/x
  3. Step 3: Cross multiply
    490,408.40x = 735,612.60 × 253,823.60
  4. Step 4: Simplify right side
    490,408.40x = 186,715,838,337.36
  5. Step 5: Solve for x
    x = 186,715,838,337.36/490,408.40
  6. Step 6: Final answer
    x = 380,735.40

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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.