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Finding the Fourth Proportional to 323,876.47, 446,950.13 and 180,645.75

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Solution

The fourth proportional to 323,876.47, 446,950.13 and 180,645.75 is: 249,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,876.47 : 446,950.13 = 180,645.75 : x
  2. Step 2: Convert to fraction form
    323,876.47/446,950.13 = 180,645.75/x
  3. Step 3: Cross multiply
    323,876.47x = 446,950.13 × 180,645.75
  4. Step 4: Simplify right side
    323,876.47x = 80,739,641,446.45
  5. Step 5: Solve for x
    x = 80,739,641,446.45/323,876.47
  6. Step 6: Final answer
    x = 249,291.47

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1.5x scale

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.