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Finding the Fourth Proportional to 323,814.72, 446,866.26 and 180,583.83

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Solution

The fourth proportional to 323,814.72, 446,866.26 and 180,583.83 is: 249,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,814.72 : 446,866.26 = 180,583.83 : x
  2. Step 2: Convert to fraction form
    323,814.72/446,866.26 = 180,583.83/x
  3. Step 3: Cross multiply
    323,814.72x = 446,866.26 × 180,583.83
  4. Step 4: Simplify right side
    323,814.72x = 80,696,820,728.58
  5. Step 5: Solve for x
    x = 80,696,820,728.58/323,814.72
  6. Step 6: Final answer
    x = 249,206.77

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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.