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Finding the Fourth Proportional to 313,806.96, 470,634.30 and 219,877.74

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Solution

The fourth proportional to 313,806.96, 470,634.30 and 219,877.74 is: 329,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,806.96 : 470,634.30 = 219,877.74 : x
  2. Step 2: Convert to fraction form
    313,806.96/470,634.30 = 219,877.74/x
  3. Step 3: Cross multiply
    313,806.96x = 470,634.30 × 219,877.74
  4. Step 4: Simplify right side
    313,806.96x = 103,482,006,250.48
  5. Step 5: Solve for x
    x = 103,482,006,250.48/313,806.96
  6. Step 6: Final answer
    x = 329,763.26

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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.