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Finding the Fourth Proportional to 313,414.62, 469,913.16 and 113,709.12

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Solution

The fourth proportional to 313,414.62, 469,913.16 and 113,709.12 is: 170,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,414.62 : 469,913.16 = 113,709.12 : x
  2. Step 2: Convert to fraction form
    313,414.62/469,913.16 = 113,709.12/x
  3. Step 3: Cross multiply
    313,414.62x = 469,913.16 × 113,709.12
  4. Step 4: Simplify right side
    313,414.62x = 53,433,411,900.02
  5. Step 5: Solve for x
    x = 53,433,411,900.02/313,414.62
  6. Step 6: Final answer
    x = 170,487.94

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1.5x scale

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.