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Finding the Fourth Proportional to 333,289.36, 499,931.61 and 133,606.81

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Solution

The fourth proportional to 333,289.36, 499,931.61 and 133,606.81 is: 200,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,289.36 : 499,931.61 = 133,606.81 : x
  2. Step 2: Convert to fraction form
    333,289.36/499,931.61 = 133,606.81/x
  3. Step 3: Cross multiply
    333,289.36x = 499,931.61 × 133,606.81
  4. Step 4: Simplify right side
    333,289.36x = 66,794,267,630.26
  5. Step 5: Solve for x
    x = 66,794,267,630.26/333,289.36
  6. Step 6: Final answer
    x = 200,409.24

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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.