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Finding the Fourth Proportional to 323,930.70, 447,024.06 and 180,690.66

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Solution

The fourth proportional to 323,930.70, 447,024.06 and 180,690.66 is: 249,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,930.70 : 447,024.06 = 180,690.66 : x
  2. Step 2: Convert to fraction form
    323,930.70/447,024.06 = 180,690.66/x
  3. Step 3: Cross multiply
    323,930.70x = 447,024.06 × 180,690.66
  4. Step 4: Simplify right side
    323,930.70x = 80,773,072,437.28
  5. Step 5: Solve for x
    x = 80,773,072,437.28/323,930.70
  6. Step 6: Final answer
    x = 249,352.94

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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.