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Finding the Fourth Proportional to 415,833.14, 573,850.14 and 224,846.48

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Solution

The fourth proportional to 415,833.14, 573,850.14 and 224,846.48 is: 310,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,833.14 : 573,850.14 = 224,846.48 : x
  2. Step 2: Convert to fraction form
    415,833.14/573,850.14 = 224,846.48/x
  3. Step 3: Cross multiply
    415,833.14x = 573,850.14 × 224,846.48
  4. Step 4: Simplify right side
    415,833.14x = 129,028,184,026.51
  5. Step 5: Solve for x
    x = 129,028,184,026.51/415,833.14
  6. Step 6: Final answer
    x = 310,288.36

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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.