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Finding the Fourth Proportional to 313,884.80, 470,654.40 and 103,414.40

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Solution

The fourth proportional to 313,884.80, 470,654.40 and 103,414.40 is: 155,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,884.80 : 470,654.40 = 103,414.40 : x
  2. Step 2: Convert to fraction form
    313,884.80/470,654.40 = 103,414.40/x
  3. Step 3: Cross multiply
    313,884.80x = 470,654.40 × 103,414.40
  4. Step 4: Simplify right side
    313,884.80x = 48,672,442,383.36
  5. Step 5: Solve for x
    x = 48,672,442,383.36/313,884.80
  6. Step 6: Final answer
    x = 155,064.67

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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.