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Finding the Fourth Proportional to 415,914.30, 573,963.45 and 224,927.69

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Solution

The fourth proportional to 415,914.30, 573,963.45 and 224,927.69 is: 310,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,914.30 : 573,963.45 = 224,927.69 : x
  2. Step 2: Convert to fraction form
    415,914.30/573,963.45 = 224,927.69/x
  3. Step 3: Cross multiply
    415,914.30x = 573,963.45 × 224,927.69
  4. Step 4: Simplify right side
    415,914.30x = 129,100,270,083.11
  5. Step 5: Solve for x
    x = 129,100,270,083.11/415,914.30
  6. Step 6: Final answer
    x = 310,401.14

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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.