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Finding the Fourth Proportional to 309,823.70, 464,735.55 and 236,095.70

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Solution

The fourth proportional to 309,823.70, 464,735.55 and 236,095.70 is: 354,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,823.70 : 464,735.55 = 236,095.70 : x
  2. Step 2: Convert to fraction form
    309,823.70/464,735.55 = 236,095.70/x
  3. Step 3: Cross multiply
    309,823.70x = 464,735.55 × 236,095.70
  4. Step 4: Simplify right side
    309,823.70x = 109,722,064,992.14
  5. Step 5: Solve for x
    x = 109,722,064,992.14/309,823.70
  6. Step 6: Final answer
    x = 354,143.55

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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.