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Finding the Fourth Proportional to 458,682.06, 633,002.25 and 254,733.88

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Solution

The fourth proportional to 458,682.06, 633,002.25 and 254,733.88 is: 351,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,682.06 : 633,002.25 = 254,733.88 : x
  2. Step 2: Convert to fraction form
    458,682.06/633,002.25 = 254,733.88/x
  3. Step 3: Cross multiply
    458,682.06x = 633,002.25 × 254,733.88
  4. Step 4: Simplify right side
    458,682.06x = 161,247,119,191.23
  5. Step 5: Solve for x
    x = 161,247,119,191.23/458,682.06
  6. Step 6: Final answer
    x = 351,544.42

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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.