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Finding the Fourth Proportional to 309,235.92, 463,066.35 and 203,735.04

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Solution

The fourth proportional to 309,235.92, 463,066.35 and 203,735.04 is: 305,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,235.92 : 463,066.35 = 203,735.04 : x
  2. Step 2: Convert to fraction form
    309,235.92/463,066.35 = 203,735.04/x
  3. Step 3: Cross multiply
    309,235.92x = 463,066.35 × 203,735.04
  4. Step 4: Simplify right side
    309,235.92x = 94,342,841,339.90
  5. Step 5: Solve for x
    x = 94,342,841,339.90/309,235.92
  6. Step 6: Final answer
    x = 305,083.71

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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.