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Finding the Fourth Proportional to 265,443, 366,391.40 and 180,609.27

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Solution

The fourth proportional to 265,443, 366,391.40 and 180,609.27 is: 249,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,443 : 366,391.40 = 180,609.27 : x
  2. Step 2: Convert to fraction form
    265,443/366,391.40 = 180,609.27/x
  3. Step 3: Cross multiply
    265,443x = 366,391.40 × 180,609.27
  4. Step 4: Simplify right side
    265,443x = 66,173,682,385.23
  5. Step 5: Solve for x
    x = 66,173,682,385.23/265,443
  6. Step 6: Final answer
    x = 249,295.26

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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.