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Finding the Fourth Proportional to 275,779.61, 413,670.50 and 182,264.57

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Solution

The fourth proportional to 275,779.61, 413,670.50 and 182,264.57 is: 273,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,779.61 : 413,670.50 = 182,264.57 : x
  2. Step 2: Convert to fraction form
    275,779.61/413,670.50 = 182,264.57/x
  3. Step 3: Cross multiply
    275,779.61x = 413,670.50 × 182,264.57
  4. Step 4: Simplify right side
    275,779.61x = 75,397,474,892.86
  5. Step 5: Solve for x
    x = 75,397,474,892.86/275,779.61
  6. Step 6: Final answer
    x = 273,397.57

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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.