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Finding the Fourth Proportional to 416,148.54, 574,284.94 and 225,161.94

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Solution

The fourth proportional to 416,148.54, 574,284.94 and 225,161.94 is: 310,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,148.54 : 574,284.94 = 225,161.94 : x
  2. Step 2: Convert to fraction form
    416,148.54/574,284.94 = 225,161.94/x
  3. Step 3: Cross multiply
    416,148.54x = 574,284.94 × 225,161.94
  4. Step 4: Simplify right side
    416,148.54x = 129,307,112,793.85
  5. Step 5: Solve for x
    x = 129,307,112,793.85/416,148.54
  6. Step 6: Final answer
    x = 310,723.46

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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.