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Finding the Fourth Proportional to 333,651.96, 500,408.82 and 123,146.04

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Solution

The fourth proportional to 333,651.96, 500,408.82 and 123,146.04 is: 184,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,651.96 : 500,408.82 = 123,146.04 : x
  2. Step 2: Convert to fraction form
    333,651.96/500,408.82 = 123,146.04/x
  3. Step 3: Cross multiply
    333,651.96x = 500,408.82 × 123,146.04
  4. Step 4: Simplify right side
    333,651.96x = 61,623,364,564.07
  5. Step 5: Solve for x
    x = 61,623,364,564.07/333,651.96
  6. Step 6: Final answer
    x = 184,693.55

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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.