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Finding the Fourth Proportional to 333,648.96, 500,404.32 and 123,143.04

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Solution

The fourth proportional to 333,648.96, 500,404.32 and 123,143.04 is: 184,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,648.96 : 500,404.32 = 123,143.04 : x
  2. Step 2: Convert to fraction form
    333,648.96/500,404.32 = 123,143.04/x
  3. Step 3: Cross multiply
    333,648.96x = 500,404.32 × 123,143.04
  4. Step 4: Simplify right side
    333,648.96x = 61,621,309,193.93
  5. Step 5: Solve for x
    x = 61,621,309,193.93/333,648.96
  6. Step 6: Final answer
    x = 184,689.05

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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.