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Finding the Fourth Proportional to 413,676.36, 570,873.06 and 234,828.36

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Solution

The fourth proportional to 413,676.36, 570,873.06 and 234,828.36 is: 324,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,676.36 : 570,873.06 = 234,828.36 : x
  2. Step 2: Convert to fraction form
    413,676.36/570,873.06 = 234,828.36/x
  3. Step 3: Cross multiply
    413,676.36x = 570,873.06 × 234,828.36
  4. Step 4: Simplify right side
    413,676.36x = 134,057,184,447.98
  5. Step 5: Solve for x
    x = 134,057,184,447.98/413,676.36
  6. Step 6: Final answer
    x = 324,062.96

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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.