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Finding the Fourth Proportional to 313,047.48, 469,553.94 and 228,893.88

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Solution

The fourth proportional to 313,047.48, 469,553.94 and 228,893.88 is: 343,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,047.48 : 469,553.94 = 228,893.88 : x
  2. Step 2: Convert to fraction form
    313,047.48/469,553.94 = 228,893.88/x
  3. Step 3: Cross multiply
    313,047.48x = 469,553.94 × 228,893.88
  4. Step 4: Simplify right side
    313,047.48x = 107,478,023,195.89
  5. Step 5: Solve for x
    x = 107,478,023,195.89/313,047.48
  6. Step 6: Final answer
    x = 343,328.19

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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.