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Finding the Fourth Proportional to 285,442.74, 428,060.76 and 95,846.40

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Solution

The fourth proportional to 285,442.74, 428,060.76 and 95,846.40 is: 143,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,442.74 : 428,060.76 = 95,846.40 : x
  2. Step 2: Convert to fraction form
    285,442.74/428,060.76 = 95,846.40/x
  3. Step 3: Cross multiply
    285,442.74x = 428,060.76 × 95,846.40
  4. Step 4: Simplify right side
    285,442.74x = 41,028,082,827.26
  5. Step 5: Solve for x
    x = 41,028,082,827.26/285,442.74
  6. Step 6: Final answer
    x = 143,734.90

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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.