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Finding the Fourth Proportional to 407,198.96, 610,503.20 and 273,748.40

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Solution

The fourth proportional to 407,198.96, 610,503.20 and 273,748.40 is: 410,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,198.96 : 610,503.20 = 273,748.40 : x
  2. Step 2: Convert to fraction form
    407,198.96/610,503.20 = 273,748.40/x
  3. Step 3: Cross multiply
    407,198.96x = 610,503.20 × 273,748.40
  4. Step 4: Simplify right side
    407,198.96x = 167,124,274,194.88
  5. Step 5: Solve for x
    x = 167,124,274,194.88/407,198.96
  6. Step 6: Final answer
    x = 410,424.12

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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.