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Finding the Fourth Proportional to 313,861.10, 433,123.21 and 170,624.75

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Solution

The fourth proportional to 313,861.10, 433,123.21 and 170,624.75 is: 235,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,861.10 : 433,123.21 = 170,624.75 : x
  2. Step 2: Convert to fraction form
    313,861.10/433,123.21 = 170,624.75/x
  3. Step 3: Cross multiply
    313,861.10x = 433,123.21 × 170,624.75
  4. Step 4: Simplify right side
    313,861.10x = 73,901,539,425.45
  5. Step 5: Solve for x
    x = 73,901,539,425.45/313,861.10
  6. Step 6: Final answer
    x = 235,459.38

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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.