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Finding the Fourth Proportional to 490,178.40, 735,267.60 and 322,216.80

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Solution

The fourth proportional to 490,178.40, 735,267.60 and 322,216.80 is: 483,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,178.40 : 735,267.60 = 322,216.80 : x
  2. Step 2: Convert to fraction form
    490,178.40/735,267.60 = 322,216.80/x
  3. Step 3: Cross multiply
    490,178.40x = 735,267.60 × 322,216.80
  4. Step 4: Simplify right side
    490,178.40x = 236,915,573,215.68
  5. Step 5: Solve for x
    x = 236,915,573,215.68/490,178.40
  6. Step 6: Final answer
    x = 483,325.20

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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.