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Finding the Fourth Proportional to 404,724.44, 606,980.94 and 120,338.42

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Solution

The fourth proportional to 404,724.44, 606,980.94 and 120,338.42 is: 180,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,724.44 : 606,980.94 = 120,338.42 : x
  2. Step 2: Convert to fraction form
    404,724.44/606,980.94 = 120,338.42/x
  3. Step 3: Cross multiply
    404,724.44x = 606,980.94 × 120,338.42
  4. Step 4: Simplify right side
    404,724.44x = 73,043,124,254.81
  5. Step 5: Solve for x
    x = 73,043,124,254.81/404,724.44
  6. Step 6: Final answer
    x = 180,476.19

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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.