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Finding the Fourth Proportional to 264,490.20, 396,905.40 and 146,246.40

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Solution

The fourth proportional to 264,490.20, 396,905.40 and 146,246.40 is: 219,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,490.20 : 396,905.40 = 146,246.40 : x
  2. Step 2: Convert to fraction form
    264,490.20/396,905.40 = 146,246.40/x
  3. Step 3: Cross multiply
    264,490.20x = 396,905.40 × 146,246.40
  4. Step 4: Simplify right side
    264,490.20x = 58,045,985,890.56
  5. Step 5: Solve for x
    x = 58,045,985,890.56/264,490.20
  6. Step 6: Final answer
    x = 219,463.65

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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.