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Finding the Fourth Proportional to 415,434.28, 573,298.44 and 224,447.08

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Solution

The fourth proportional to 415,434.28, 573,298.44 and 224,447.08 is: 309,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,434.28 : 573,298.44 = 224,447.08 : x
  2. Step 2: Convert to fraction form
    415,434.28/573,298.44 = 224,447.08/x
  3. Step 3: Cross multiply
    415,434.28x = 573,298.44 × 224,447.08
  4. Step 4: Simplify right side
    415,434.28x = 128,675,160,826.56
  5. Step 5: Solve for x
    x = 128,675,160,826.56/415,434.28
  6. Step 6: Final answer
    x = 309,736.50

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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.