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Finding the Fourth Proportional to 416,524.86, 574,803.46 and 225,538.81

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Solution

The fourth proportional to 416,524.86, 574,803.46 and 225,538.81 is: 311,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,524.86 : 574,803.46 = 225,538.81 : x
  2. Step 2: Convert to fraction form
    416,524.86/574,803.46 = 225,538.81/x
  3. Step 3: Cross multiply
    416,524.86x = 574,803.46 × 225,538.81
  4. Step 4: Simplify right side
    416,524.86x = 129,640,488,352.28
  5. Step 5: Solve for x
    x = 129,640,488,352.28/416,524.86
  6. Step 6: Final answer
    x = 311,243.10

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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.