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Finding the Fourth Proportional to 490,564.80, 735,956.55 and 384,276.60

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Solution

The fourth proportional to 490,564.80, 735,956.55 and 384,276.60 is: 576,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,564.80 : 735,956.55 = 384,276.60 : x
  2. Step 2: Convert to fraction form
    490,564.80/735,956.55 = 384,276.60/x
  3. Step 3: Cross multiply
    490,564.80x = 735,956.55 × 384,276.60
  4. Step 4: Simplify right side
    490,564.80x = 282,810,880,781.73
  5. Step 5: Solve for x
    x = 282,810,880,781.73/490,564.80
  6. Step 6: Final answer
    x = 576,500.56

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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.