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Finding the Fourth Proportional to 313,677.54, 470,515.38 and 89,038.17

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Solution

The fourth proportional to 313,677.54, 470,515.38 and 89,038.17 is: 133,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,677.54 : 470,515.38 = 89,038.17 : x
  2. Step 2: Convert to fraction form
    313,677.54/470,515.38 = 89,038.17/x
  3. Step 3: Cross multiply
    313,677.54x = 470,515.38 × 89,038.17
  4. Step 4: Simplify right side
    313,677.54x = 41,893,826,627.62
  5. Step 5: Solve for x
    x = 41,893,826,627.62/313,677.54
  6. Step 6: Final answer
    x = 133,556.98

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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.