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Finding the Fourth Proportional to 470,730.21, 705,697.39 and 204,290.43

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Solution

The fourth proportional to 470,730.21, 705,697.39 and 204,290.43 is: 306,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.21 : 705,697.39 = 204,290.43 : x
  2. Step 2: Convert to fraction form
    470,730.21/705,697.39 = 204,290.43/x
  3. Step 3: Cross multiply
    470,730.21x = 705,697.39 × 204,290.43
  4. Step 4: Simplify right side
    470,730.21x = 144,167,223,252.98
  5. Step 5: Solve for x
    x = 144,167,223,252.98/470,730.21
  6. Step 6: Final answer
    x = 306,262.95

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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.