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Finding the Fourth Proportional to 600,022.68, 900,146.10 and 200,665.54

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Solution

The fourth proportional to 600,022.68, 900,146.10 and 200,665.54 is: 301,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,022.68 : 900,146.10 = 200,665.54 : x
  2. Step 2: Convert to fraction form
    600,022.68/900,146.10 = 200,665.54/x
  3. Step 3: Cross multiply
    600,022.68x = 900,146.10 × 200,665.54
  4. Step 4: Simplify right side
    600,022.68x = 180,628,303,235.39
  5. Step 5: Solve for x
    x = 180,628,303,235.39/600,022.68
  6. Step 6: Final answer
    x = 301,035.79

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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.