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Finding the Fourth Proportional to 381,848.78, 526,599.20 and 259,524.38

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Solution

The fourth proportional to 381,848.78, 526,599.20 and 259,524.38 is: 357,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,848.78 : 526,599.20 = 259,524.38 : x
  2. Step 2: Convert to fraction form
    381,848.78/526,599.20 = 259,524.38/x
  3. Step 3: Cross multiply
    381,848.78x = 526,599.20 × 259,524.38
  4. Step 4: Simplify right side
    381,848.78x = 136,665,330,888.50
  5. Step 5: Solve for x
    x = 136,665,330,888.50/381,848.78
  6. Step 6: Final answer
    x = 357,904.33

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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.