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Finding the Fourth Proportional to 415,434.56, 573,299.98 and 224,447.90

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Solution

The fourth proportional to 415,434.56, 573,299.98 and 224,447.90 is: 309,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,434.56 : 573,299.98 = 224,447.90 : x
  2. Step 2: Convert to fraction form
    415,434.56/573,299.98 = 224,447.90/x
  3. Step 3: Cross multiply
    415,434.56x = 573,299.98 × 224,447.90
  4. Step 4: Simplify right side
    415,434.56x = 128,675,973,153.42
  5. Step 5: Solve for x
    x = 128,675,973,153.42/415,434.56
  6. Step 6: Final answer
    x = 309,738.25

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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.