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Finding the Fourth Proportional to 416,151.48, 574,284.96 and 225,160.68

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Solution

The fourth proportional to 416,151.48, 574,284.96 and 225,160.68 is: 310,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,151.48 : 574,284.96 = 225,160.68 : x
  2. Step 2: Convert to fraction form
    416,151.48/574,284.96 = 225,160.68/x
  3. Step 3: Cross multiply
    416,151.48x = 574,284.96 × 225,160.68
  4. Step 4: Simplify right side
    416,151.48x = 129,306,392,107.37
  5. Step 5: Solve for x
    x = 129,306,392,107.37/416,151.48
  6. Step 6: Final answer
    x = 310,719.53

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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.