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Finding the Fourth Proportional to 273,962.86, 410,279.97 and 189,485.93

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Solution

The fourth proportional to 273,962.86, 410,279.97 and 189,485.93 is: 283,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,962.86 : 410,279.97 = 189,485.93 : x
  2. Step 2: Convert to fraction form
    273,962.86/410,279.97 = 189,485.93/x
  3. Step 3: Cross multiply
    273,962.86x = 410,279.97 × 189,485.93
  4. Step 4: Simplify right side
    273,962.86x = 77,742,281,675.82
  5. Step 5: Solve for x
    x = 77,742,281,675.82/273,962.86
  6. Step 6: Final answer
    x = 283,769.42

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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.