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Finding the Fourth Proportional to 381,779.30, 526,613.28 and 234,539.76

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Solution

The fourth proportional to 381,779.30, 526,613.28 and 234,539.76 is: 323,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,779.30 : 526,613.28 = 234,539.76 : x
  2. Step 2: Convert to fraction form
    381,779.30/526,613.28 = 234,539.76/x
  3. Step 3: Cross multiply
    381,779.30x = 526,613.28 × 234,539.76
  4. Step 4: Simplify right side
    381,779.30x = 123,511,752,304.01
  5. Step 5: Solve for x
    x = 123,511,752,304.01/381,779.30
  6. Step 6: Final answer
    x = 323,516.11

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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.