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Finding the Fourth Proportional to 415,914.11, 573,963.19 and 224,927.50

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Solution

The fourth proportional to 415,914.11, 573,963.19 and 224,927.50 is: 310,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,914.11 : 573,963.19 = 224,927.50 : x
  2. Step 2: Convert to fraction form
    415,914.11/573,963.19 = 224,927.50/x
  3. Step 3: Cross multiply
    415,914.11x = 573,963.19 × 224,927.50
  4. Step 4: Simplify right side
    415,914.11x = 129,100,104,264.98
  5. Step 5: Solve for x
    x = 129,100,104,264.98/415,914.11
  6. Step 6: Final answer
    x = 310,400.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.