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Finding the Fourth Proportional to 323,894.70, 446,975.30 and 180,664.02

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Solution

The fourth proportional to 323,894.70, 446,975.30 and 180,664.02 is: 249,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,894.70 : 446,975.30 = 180,664.02 : x
  2. Step 2: Convert to fraction form
    323,894.70/446,975.30 = 180,664.02/x
  3. Step 3: Cross multiply
    323,894.70x = 446,975.30 × 180,664.02
  4. Step 4: Simplify right side
    323,894.70x = 80,752,354,538.71
  5. Step 5: Solve for x
    x = 80,752,354,538.71/323,894.70
  6. Step 6: Final answer
    x = 249,316.69

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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.