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Finding the Fourth Proportional to 358,765.41, 538,074.20 and 158,958.36

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Solution

The fourth proportional to 358,765.41, 538,074.20 and 158,958.36 is: 238,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,765.41 : 538,074.20 = 158,958.36 : x
  2. Step 2: Convert to fraction form
    358,765.41/538,074.20 = 158,958.36/x
  3. Step 3: Cross multiply
    358,765.41x = 538,074.20 × 158,958.36
  4. Step 4: Simplify right side
    358,765.41x = 85,531,391,595.52
  5. Step 5: Solve for x
    x = 85,531,391,595.52/358,765.41
  6. Step 6: Final answer
    x = 238,404.79

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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.