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Finding the Fourth Proportional to 380,519.91, 525,121.34 and 229,587.75

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Solution

The fourth proportional to 380,519.91, 525,121.34 and 229,587.75 is: 316,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,519.91 : 525,121.34 = 229,587.75 : x
  2. Step 2: Convert to fraction form
    380,519.91/525,121.34 = 229,587.75/x
  3. Step 3: Cross multiply
    380,519.91x = 525,121.34 × 229,587.75
  4. Step 4: Simplify right side
    380,519.91x = 120,561,425,779.65
  5. Step 5: Solve for x
    x = 120,561,425,779.65/380,519.91
  6. Step 6: Final answer
    x = 316,833.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.