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Finding the Fourth Proportional to 278,779.38, 384,714.54 and 151,453.86

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Solution

The fourth proportional to 278,779.38, 384,714.54 and 151,453.86 is: 209,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,779.38 : 384,714.54 = 151,453.86 : x
  2. Step 2: Convert to fraction form
    278,779.38/384,714.54 = 151,453.86/x
  3. Step 3: Cross multiply
    278,779.38x = 384,714.54 × 151,453.86
  4. Step 4: Simplify right side
    278,779.38x = 58,266,502,081.12
  5. Step 5: Solve for x
    x = 58,266,502,081.12/278,779.38
  6. Step 6: Final answer
    x = 209,005.78

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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.