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Finding the Fourth Proportional to 313,364.85, 469,725.51 and 123,748.37

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Solution

The fourth proportional to 313,364.85, 469,725.51 and 123,748.37 is: 185,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,364.85 : 469,725.51 = 123,748.37 : x
  2. Step 2: Convert to fraction form
    313,364.85/469,725.51 = 123,748.37/x
  3. Step 3: Cross multiply
    313,364.85x = 469,725.51 × 123,748.37
  4. Step 4: Simplify right side
    313,364.85x = 58,127,763,861.29
  5. Step 5: Solve for x
    x = 58,127,763,861.29/313,364.85
  6. Step 6: Final answer
    x = 185,495.48

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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.