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Finding the Fourth Proportional to 409,202.92, 613,888.54 and 172,546.28

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Solution

The fourth proportional to 409,202.92, 613,888.54 and 172,546.28 is: 258,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,202.92 : 613,888.54 = 172,546.28 : x
  2. Step 2: Convert to fraction form
    409,202.92/613,888.54 = 172,546.28/x
  3. Step 3: Cross multiply
    409,202.92x = 613,888.54 × 172,546.28
  4. Step 4: Simplify right side
    409,202.92x = 105,924,183,911.63
  5. Step 5: Solve for x
    x = 105,924,183,911.63/409,202.92
  6. Step 6: Final answer
    x = 258,854.91

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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.