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Finding the Fourth Proportional to 313,673.28, 470,245.40 and 136,046.51

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Solution

The fourth proportional to 313,673.28, 470,245.40 and 136,046.51 is: 203,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,673.28 : 470,245.40 = 136,046.51 : x
  2. Step 2: Convert to fraction form
    313,673.28/470,245.40 = 136,046.51/x
  3. Step 3: Cross multiply
    313,673.28x = 470,245.40 × 136,046.51
  4. Step 4: Simplify right side
    313,673.28x = 63,975,245,513.55
  5. Step 5: Solve for x
    x = 63,975,245,513.55/313,673.28
  6. Step 6: Final answer
    x = 203,955.04

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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.