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Finding the Fourth Proportional to 296,231.72, 444,391.31 and 85,842.32

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Solution

The fourth proportional to 296,231.72, 444,391.31 and 85,842.32 is: 128,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,231.72 : 444,391.31 = 85,842.32 : x
  2. Step 2: Convert to fraction form
    296,231.72/444,391.31 = 85,842.32/x
  3. Step 3: Cross multiply
    296,231.72x = 444,391.31 × 85,842.32
  4. Step 4: Simplify right side
    296,231.72x = 38,147,579,030.89
  5. Step 5: Solve for x
    x = 38,147,579,030.89/296,231.72
  6. Step 6: Final answer
    x = 128,776.15

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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.