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Finding the Fourth Proportional to 407,199.96, 610,504.70 and 273,749.40

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Solution

The fourth proportional to 407,199.96, 610,504.70 and 273,749.40 is: 410,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,199.96 : 610,504.70 = 273,749.40 : x
  2. Step 2: Convert to fraction form
    407,199.96/610,504.70 = 273,749.40/x
  3. Step 3: Cross multiply
    407,199.96x = 610,504.70 × 273,749.40
  4. Step 4: Simplify right side
    407,199.96x = 167,125,295,322.18
  5. Step 5: Solve for x
    x = 167,125,295,322.18/407,199.96
  6. Step 6: Final answer
    x = 410,425.62

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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.