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Finding the Fourth Proportional to 295,887.36, 408,324 and 161,751.36

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Solution

The fourth proportional to 295,887.36, 408,324 and 161,751.36 is: 223,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,887.36 : 408,324 = 161,751.36 : x
  2. Step 2: Convert to fraction form
    295,887.36/408,324 = 161,751.36/x
  3. Step 3: Cross multiply
    295,887.36x = 408,324 × 161,751.36
  4. Step 4: Simplify right side
    295,887.36x = 66,046,962,320.64
  5. Step 5: Solve for x
    x = 66,046,962,320.64/295,887.36
  6. Step 6: Final answer
    x = 223,216.57

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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.