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Finding the Fourth Proportional to 313,400.34, 432,495.54 and 170,161.56

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Solution

The fourth proportional to 313,400.34, 432,495.54 and 170,161.56 is: 234,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,400.34 : 432,495.54 = 170,161.56 : x
  2. Step 2: Convert to fraction form
    313,400.34/432,495.54 = 170,161.56/x
  3. Step 3: Cross multiply
    313,400.34x = 432,495.54 × 170,161.56
  4. Step 4: Simplify right side
    313,400.34x = 73,594,115,779.44
  5. Step 5: Solve for x
    x = 73,594,115,779.44/313,400.34
  6. Step 6: Final answer
    x = 234,824.62

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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.