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Finding the Fourth Proportional to 412,891.83, 619,307.64 and 185,258.07

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Solution

The fourth proportional to 412,891.83, 619,307.64 and 185,258.07 is: 277,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,891.83 : 619,307.64 = 185,258.07 : x
  2. Step 2: Convert to fraction form
    412,891.83/619,307.64 = 185,258.07/x
  3. Step 3: Cross multiply
    412,891.83x = 619,307.64 × 185,258.07
  4. Step 4: Simplify right side
    412,891.83x = 114,731,738,122.66
  5. Step 5: Solve for x
    x = 114,731,738,122.66/412,891.83
  6. Step 6: Final answer
    x = 277,873.60

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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.