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Finding the Fourth Proportional to 833,204, 1,250,019.12 and 242,228

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Solution

The fourth proportional to 833,204, 1,250,019.12 and 242,228 is: 363,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,204 : 1,250,019.12 = 242,228 : x
  2. Step 2: Convert to fraction form
    833,204/1,250,019.12 = 242,228/x
  3. Step 3: Cross multiply
    833,204x = 1,250,019.12 × 242,228
  4. Step 4: Simplify right side
    833,204x = 302,789,631,399.36
  5. Step 5: Solve for x
    x = 302,789,631,399.36/833,204
  6. Step 6: Final answer
    x = 363,403.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.