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Finding the Fourth Proportional to 323,715.74, 446,722.83 and 180,472.10

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Solution

The fourth proportional to 323,715.74, 446,722.83 and 180,472.10 is: 249,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,715.74 : 446,722.83 = 180,472.10 : x
  2. Step 2: Convert to fraction form
    323,715.74/446,722.83 = 180,472.10/x
  3. Step 3: Cross multiply
    323,715.74x = 446,722.83 × 180,472.10
  4. Step 4: Simplify right side
    323,715.74x = 80,621,005,014.43
  5. Step 5: Solve for x
    x = 80,621,005,014.43/323,715.74
  6. Step 6: Final answer
    x = 249,048.77

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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.