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Finding the Fourth Proportional to 308,059.52, 461,037.90 and 258,195.92

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Solution

The fourth proportional to 308,059.52, 461,037.90 and 258,195.92 is: 386,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,059.52 : 461,037.90 = 258,195.92 : x
  2. Step 2: Convert to fraction form
    308,059.52/461,037.90 = 258,195.92/x
  3. Step 3: Cross multiply
    308,059.52x = 461,037.90 × 258,195.92
  4. Step 4: Simplify right side
    308,059.52x = 119,038,104,745.37
  5. Step 5: Solve for x
    x = 119,038,104,745.37/308,059.52
  6. Step 6: Final answer
    x = 386,412.68

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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.