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Finding the Fourth Proportional to 416,729.40, 575,086.54 and 225,742.74

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Solution

The fourth proportional to 416,729.40, 575,086.54 and 225,742.74 is: 311,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,729.40 : 575,086.54 = 225,742.74 : x
  2. Step 2: Convert to fraction form
    416,729.40/575,086.54 = 225,742.74/x
  3. Step 3: Cross multiply
    416,729.40x = 575,086.54 × 225,742.74
  4. Step 4: Simplify right side
    416,729.40x = 129,821,611,276.72
  5. Step 5: Solve for x
    x = 129,821,611,276.72/416,729.40
  6. Step 6: Final answer
    x = 311,524.96

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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.