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Finding the Fourth Proportional to 333,171.84, 499,705.92 and 111,504

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Solution

The fourth proportional to 333,171.84, 499,705.92 and 111,504 is: 167,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,171.84 : 499,705.92 = 111,504 : x
  2. Step 2: Convert to fraction form
    333,171.84/499,705.92 = 111,504/x
  3. Step 3: Cross multiply
    333,171.84x = 499,705.92 × 111,504
  4. Step 4: Simplify right side
    333,171.84x = 55,719,208,903.68
  5. Step 5: Solve for x
    x = 55,719,208,903.68/333,171.84
  6. Step 6: Final answer
    x = 167,238.65

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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.