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Finding the Fourth Proportional to 413,175.63, 620,025.62 and 176,520.09

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Solution

The fourth proportional to 413,175.63, 620,025.62 and 176,520.09 is: 264,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,175.63 : 620,025.62 = 176,520.09 : x
  2. Step 2: Convert to fraction form
    413,175.63/620,025.62 = 176,520.09/x
  3. Step 3: Cross multiply
    413,175.63x = 620,025.62 × 176,520.09
  4. Step 4: Simplify right side
    413,175.63x = 109,446,978,244.71
  5. Step 5: Solve for x
    x = 109,446,978,244.71/413,175.63
  6. Step 6: Final answer
    x = 264,892.14

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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.