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Finding the Fourth Proportional to 415,224.14, 573,009.34 and 224,237.54

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Solution

The fourth proportional to 415,224.14, 573,009.34 and 224,237.54 is: 309,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,224.14 : 573,009.34 = 224,237.54 : x
  2. Step 2: Convert to fraction form
    415,224.14/573,009.34 = 224,237.54/x
  3. Step 3: Cross multiply
    415,224.14x = 573,009.34 × 224,237.54
  4. Step 4: Simplify right side
    415,224.14x = 128,490,204,798.62
  5. Step 5: Solve for x
    x = 128,490,204,798.62/415,224.14
  6. Step 6: Final answer
    x = 309,447.82

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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.