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Finding the Fourth Proportional to 333,290.36, 499,933.11 and 133,607.81

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Solution

The fourth proportional to 333,290.36, 499,933.11 and 133,607.81 is: 200,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,290.36 : 499,933.11 = 133,607.81 : x
  2. Step 2: Convert to fraction form
    333,290.36/499,933.11 = 133,607.81/x
  3. Step 3: Cross multiply
    333,290.36x = 499,933.11 × 133,607.81
  4. Step 4: Simplify right side
    333,290.36x = 66,794,967,973.59
  5. Step 5: Solve for x
    x = 66,794,967,973.59/333,290.36
  6. Step 6: Final answer
    x = 200,410.74

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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.