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Finding the Fourth Proportional to 328,495.97, 492,104.86 and 215,833.88

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Solution

The fourth proportional to 328,495.97, 492,104.86 and 215,833.88 is: 323,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,495.97 : 492,104.86 = 215,833.88 : x
  2. Step 2: Convert to fraction form
    328,495.97/492,104.86 = 215,833.88/x
  3. Step 3: Cross multiply
    328,495.97x = 492,104.86 × 215,833.88
  4. Step 4: Simplify right side
    328,495.97x = 106,212,899,223.24
  5. Step 5: Solve for x
    x = 106,212,899,223.24/328,495.97
  6. Step 6: Final answer
    x = 323,330.91

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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.