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Finding the Fourth Proportional to 415,227.21, 573,013.53 and 224,240.58

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Solution

The fourth proportional to 415,227.21, 573,013.53 and 224,240.58 is: 309,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,227.21 : 573,013.53 = 224,240.58 : x
  2. Step 2: Convert to fraction form
    415,227.21/573,013.53 = 224,240.58/x
  3. Step 3: Cross multiply
    415,227.21x = 573,013.53 × 224,240.58
  4. Step 4: Simplify right side
    415,227.21x = 128,492,886,470.71
  5. Step 5: Solve for x
    x = 128,492,886,470.71/415,227.21
  6. Step 6: Final answer
    x = 309,451.99

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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.