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Finding the Fourth Proportional to 278,633.93, 384,514.70 and 151,309.49

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Solution

The fourth proportional to 278,633.93, 384,514.70 and 151,309.49 is: 208,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,633.93 : 384,514.70 = 151,309.49 : x
  2. Step 2: Convert to fraction form
    278,633.93/384,514.70 = 151,309.49/x
  3. Step 3: Cross multiply
    278,633.93x = 384,514.70 × 151,309.49
  4. Step 4: Simplify right side
    278,633.93x = 58,180,720,475.38
  5. Step 5: Solve for x
    x = 58,180,720,475.38/278,633.93
  6. Step 6: Final answer
    x = 208,807.02

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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.