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Finding the Fourth Proportional to 280,463.06, 386,842.61 and 189,779.11

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Solution

The fourth proportional to 280,463.06, 386,842.61 and 189,779.11 is: 261,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463.06 : 386,842.61 = 189,779.11 : x
  2. Step 2: Convert to fraction form
    280,463.06/386,842.61 = 189,779.11/x
  3. Step 3: Cross multiply
    280,463.06x = 386,842.61 × 189,779.11
  4. Step 4: Simplify right side
    280,463.06x = 73,414,645,743.22
  5. Step 5: Solve for x
    x = 73,414,645,743.22/280,463.06
  6. Step 6: Final answer
    x = 261,762.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.