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Finding the Fourth Proportional to 425,396.63, 638,107.32 and 159,106.34

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Solution

The fourth proportional to 425,396.63, 638,107.32 and 159,106.34 is: 238,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,396.63 : 638,107.32 = 159,106.34 : x
  2. Step 2: Convert to fraction form
    425,396.63/638,107.32 = 159,106.34/x
  3. Step 3: Cross multiply
    425,396.63x = 638,107.32 × 159,106.34
  4. Step 4: Simplify right side
    425,396.63x = 101,526,920,212.41
  5. Step 5: Solve for x
    x = 101,526,920,212.41/425,396.63
  6. Step 6: Final answer
    x = 238,664.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.