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Finding the Fourth Proportional to 469,832.88, 648,374.14 and 254,974.80

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Solution

The fourth proportional to 469,832.88, 648,374.14 and 254,974.80 is: 351,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,832.88 : 648,374.14 = 254,974.80 : x
  2. Step 2: Convert to fraction form
    469,832.88/648,374.14 = 254,974.80/x
  3. Step 3: Cross multiply
    469,832.88x = 648,374.14 × 254,974.80
  4. Step 4: Simplify right side
    469,832.88x = 165,319,066,671.67
  5. Step 5: Solve for x
    x = 165,319,066,671.67/469,832.88
  6. Step 6: Final answer
    x = 351,867.81

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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.