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Finding the Fourth Proportional to 465,687.04, 698,633.92 and 255,216.64

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Solution

The fourth proportional to 465,687.04, 698,633.92 and 255,216.64 is: 382,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,687.04 : 698,633.92 = 255,216.64 : x
  2. Step 2: Convert to fraction form
    465,687.04/698,633.92 = 255,216.64/x
  3. Step 3: Cross multiply
    465,687.04x = 698,633.92 × 255,216.64
  4. Step 4: Simplify right side
    465,687.04x = 178,303,001,652.43
  5. Step 5: Solve for x
    x = 178,303,001,652.43/465,687.04
  6. Step 6: Final answer
    x = 382,881.61

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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.