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Finding the Fourth Proportional to 466,095.44, 643,216.20 and 264,892.88

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Solution

The fourth proportional to 466,095.44, 643,216.20 and 264,892.88 is: 365,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,095.44 : 643,216.20 = 264,892.88 : x
  2. Step 2: Convert to fraction form
    466,095.44/643,216.20 = 264,892.88/x
  3. Step 3: Cross multiply
    466,095.44x = 643,216.20 × 264,892.88
  4. Step 4: Simplify right side
    466,095.44x = 170,383,391,680.66
  5. Step 5: Solve for x
    x = 170,383,391,680.66/466,095.44
  6. Step 6: Final answer
    x = 365,554.73

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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.