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Finding the Fourth Proportional to 313,553.08, 470,490.46 and 153,625.96

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Solution

The fourth proportional to 313,553.08, 470,490.46 and 153,625.96 is: 230,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,553.08 : 470,490.46 = 153,625.96 : x
  2. Step 2: Convert to fraction form
    313,553.08/470,490.46 = 153,625.96/x
  3. Step 3: Cross multiply
    313,553.08x = 470,490.46 × 153,625.96
  4. Step 4: Simplify right side
    313,553.08x = 72,279,548,588.34
  5. Step 5: Solve for x
    x = 72,279,548,588.34/313,553.08
  6. Step 6: Final answer
    x = 230,517.74

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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.