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Finding the Fourth Proportional to 292,305.72, 438,504.42 and 123,826.44

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Solution

The fourth proportional to 292,305.72, 438,504.42 and 123,826.44 is: 185,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,305.72 : 438,504.42 = 123,826.44 : x
  2. Step 2: Convert to fraction form
    292,305.72/438,504.42 = 123,826.44/x
  3. Step 3: Cross multiply
    292,305.72x = 438,504.42 × 123,826.44
  4. Step 4: Simplify right side
    292,305.72x = 54,298,441,252.86
  5. Step 5: Solve for x
    x = 54,298,441,252.86/292,305.72
  6. Step 6: Final answer
    x = 185,759.08

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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.