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Finding the Fourth Proportional to 264,809.20, 397,383.90 and 146,565.40

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Solution

The fourth proportional to 264,809.20, 397,383.90 and 146,565.40 is: 219,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,809.20 : 397,383.90 = 146,565.40 : x
  2. Step 2: Convert to fraction form
    264,809.20/397,383.90 = 146,565.40/x
  3. Step 3: Cross multiply
    264,809.20x = 397,383.90 × 146,565.40
  4. Step 4: Simplify right side
    264,809.20x = 58,242,730,257.06
  5. Step 5: Solve for x
    x = 58,242,730,257.06/264,809.20
  6. Step 6: Final answer
    x = 219,942.25

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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.