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Finding the Fourth Proportional to 313,929.30, 470,883.54 and 136,436.52

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Solution

The fourth proportional to 313,929.30, 470,883.54 and 136,436.52 is: 204,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.30 : 470,883.54 = 136,436.52 : x
  2. Step 2: Convert to fraction form
    313,929.30/470,883.54 = 136,436.52/x
  3. Step 3: Cross multiply
    313,929.30x = 470,883.54 × 136,436.52
  4. Step 4: Simplify right side
    313,929.30x = 64,245,711,522.88
  5. Step 5: Solve for x
    x = 64,245,711,522.88/313,929.30
  6. Step 6: Final answer
    x = 204,650.26

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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.