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Finding the Fourth Proportional to 273,406.30, 410,109.45 and 273,406.30

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Solution

The fourth proportional to 273,406.30, 410,109.45 and 273,406.30 is: 410,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,406.30 : 410,109.45 = 273,406.30 : x
  2. Step 2: Convert to fraction form
    273,406.30/410,109.45 = 273,406.30/x
  3. Step 3: Cross multiply
    273,406.30x = 410,109.45 × 273,406.30
  4. Step 4: Simplify right side
    273,406.30x = 112,126,507,319.54
  5. Step 5: Solve for x
    x = 112,126,507,319.54/273,406.30
  6. Step 6: Final answer
    x = 410,109.45

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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.