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Finding the Fourth Proportional to 470,536.85, 705,408.44 and 204,096.76

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Solution

The fourth proportional to 470,536.85, 705,408.44 and 204,096.76 is: 305,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,536.85 : 705,408.44 = 204,096.76 : x
  2. Step 2: Convert to fraction form
    470,536.85/705,408.44 = 204,096.76/x
  3. Step 3: Cross multiply
    470,536.85x = 705,408.44 × 204,096.76
  4. Step 4: Simplify right side
    470,536.85x = 143,971,574,296.65
  5. Step 5: Solve for x
    x = 143,971,574,296.65/470,536.85
  6. Step 6: Final answer
    x = 305,973.00

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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.