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Finding the Fourth Proportional to 415,940.64, 573,998.46 and 224,954.02

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Solution

The fourth proportional to 415,940.64, 573,998.46 and 224,954.02 is: 310,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,940.64 : 573,998.46 = 224,954.02 : x
  2. Step 2: Convert to fraction form
    415,940.64/573,998.46 = 224,954.02/x
  3. Step 3: Cross multiply
    415,940.64x = 573,998.46 × 224,954.02
  4. Step 4: Simplify right side
    415,940.64x = 129,123,261,050.81
  5. Step 5: Solve for x
    x = 129,123,261,050.81/415,940.64
  6. Step 6: Final answer
    x = 310,436.75

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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.