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Finding the Fourth Proportional to 407,200.08, 610,504.80 and 273,749.28

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Solution

The fourth proportional to 407,200.08, 610,504.80 and 273,749.28 is: 410,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,200.08 : 610,504.80 = 273,749.28 : x
  2. Step 2: Convert to fraction form
    407,200.08/610,504.80 = 273,749.28/x
  3. Step 3: Cross multiply
    407,200.08x = 610,504.80 × 273,749.28
  4. Step 4: Simplify right side
    407,200.08x = 167,125,249,436.54
  5. Step 5: Solve for x
    x = 167,125,249,436.54/407,200.08
  6. Step 6: Final answer
    x = 410,425.38

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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.