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Finding the Fourth Proportional to 466,505.46, 699,955.02 and 229,850.46

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Solution

The fourth proportional to 466,505.46, 699,955.02 and 229,850.46 is: 344,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,505.46 : 699,955.02 = 229,850.46 : x
  2. Step 2: Convert to fraction form
    466,505.46/699,955.02 = 229,850.46/x
  3. Step 3: Cross multiply
    466,505.46x = 699,955.02 × 229,850.46
  4. Step 4: Simplify right side
    466,505.46x = 160,884,983,326.31
  5. Step 5: Solve for x
    x = 160,884,983,326.31/466,505.46
  6. Step 6: Final answer
    x = 344,872.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.