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Finding the Fourth Proportional to 310,879.34, 466,119.30 and 204,137.24

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Solution

The fourth proportional to 310,879.34, 466,119.30 and 204,137.24 is: 306,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,879.34 : 466,119.30 = 204,137.24 : x
  2. Step 2: Convert to fraction form
    310,879.34/466,119.30 = 204,137.24/x
  3. Step 3: Cross multiply
    310,879.34x = 466,119.30 × 204,137.24
  4. Step 4: Simplify right side
    310,879.34x = 95,152,307,412.73
  5. Step 5: Solve for x
    x = 95,152,307,412.73/310,879.34
  6. Step 6: Final answer
    x = 306,074.72

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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.