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Finding the Fourth Proportional to 469,814.53, 648,344.47 and 254,954.59

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Solution

The fourth proportional to 469,814.53, 648,344.47 and 254,954.59 is: 351,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,814.53 : 648,344.47 = 254,954.59 : x
  2. Step 2: Convert to fraction form
    469,814.53/648,344.47 = 254,954.59/x
  3. Step 3: Cross multiply
    469,814.53x = 648,344.47 × 254,954.59
  4. Step 4: Simplify right side
    469,814.53x = 165,298,399,178.70
  5. Step 5: Solve for x
    x = 165,298,399,178.70/469,814.53
  6. Step 6: Final answer
    x = 351,837.56

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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.