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Finding the Fourth Proportional to 405,036.75, 558,532.09 and 347,865.38

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Solution

The fourth proportional to 405,036.75, 558,532.09 and 347,865.38 is: 479,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,036.75 : 558,532.09 = 347,865.38 : x
  2. Step 2: Convert to fraction form
    405,036.75/558,532.09 = 347,865.38/x
  3. Step 3: Cross multiply
    405,036.75x = 558,532.09 × 347,865.38
  4. Step 4: Simplify right side
    405,036.75x = 194,293,977,730.04
  5. Step 5: Solve for x
    x = 194,293,977,730.04/405,036.75
  6. Step 6: Final answer
    x = 479,694.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.