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Finding the Fourth Proportional to 313,784.28, 470,528.60 and 113,963.76

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Solution

The fourth proportional to 313,784.28, 470,528.60 and 113,963.76 is: 170,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784.28 : 470,528.60 = 113,963.76 : x
  2. Step 2: Convert to fraction form
    313,784.28/470,528.60 = 113,963.76/x
  3. Step 3: Cross multiply
    313,784.28x = 470,528.60 × 113,963.76
  4. Step 4: Simplify right side
    313,784.28x = 53,623,207,873.72
  5. Step 5: Solve for x
    x = 53,623,207,873.72/313,784.28
  6. Step 6: Final answer
    x = 170,891.95

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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.