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Finding the Fourth Proportional to 313,935.36, 470,892.60 and 136,442.58

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Solution

The fourth proportional to 313,935.36, 470,892.60 and 136,442.58 is: 204,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,935.36 : 470,892.60 = 136,442.58 : x
  2. Step 2: Convert to fraction form
    313,935.36/470,892.60 = 136,442.58/x
  3. Step 3: Cross multiply
    313,935.36x = 470,892.60 × 136,442.58
  4. Step 4: Simplify right side
    313,935.36x = 64,249,801,246.91
  5. Step 5: Solve for x
    x = 64,249,801,246.91/313,935.36
  6. Step 6: Final answer
    x = 204,659.33

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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.