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Finding the Fourth Proportional to 470,544.19, 705,419.38 and 204,104.00

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Solution

The fourth proportional to 470,544.19, 705,419.38 and 204,104.00 is: 305,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,544.19 : 705,419.38 = 204,104.00 : x
  2. Step 2: Convert to fraction form
    470,544.19/705,419.38 = 204,104.00/x
  3. Step 3: Cross multiply
    470,544.19x = 705,419.38 × 204,104.00
  4. Step 4: Simplify right side
    470,544.19x = 143,978,919,154.20
  5. Step 5: Solve for x
    x = 143,978,919,154.20/470,544.19
  6. Step 6: Final answer
    x = 305,983.84

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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.