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Finding the Fourth Proportional to 323,891.70, 446,971.16 and 180,661.02

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Solution

The fourth proportional to 323,891.70, 446,971.16 and 180,661.02 is: 249,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,891.70 : 446,971.16 = 180,661.02 : x
  2. Step 2: Convert to fraction form
    323,891.70/446,971.16 = 180,661.02/x
  3. Step 3: Cross multiply
    323,891.70x = 446,971.16 × 180,661.02
  4. Step 4: Simplify right side
    323,891.70x = 80,750,265,676.18
  5. Step 5: Solve for x
    x = 80,750,265,676.18/323,891.70
  6. Step 6: Final answer
    x = 249,312.55

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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.