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Finding the Fourth Proportional to 704,175.73, 971,736.27 and 417,524.29

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Solution

The fourth proportional to 704,175.73, 971,736.27 and 417,524.29 is: 576,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,175.73 : 971,736.27 = 417,524.29 : x
  2. Step 2: Convert to fraction form
    704,175.73/971,736.27 = 417,524.29/x
  3. Step 3: Cross multiply
    704,175.73x = 971,736.27 × 417,524.29
  4. Step 4: Simplify right side
    704,175.73x = 405,723,496,199.00
  5. Step 5: Solve for x
    x = 405,723,496,199.00/704,175.73
  6. Step 6: Final answer
    x = 576,167.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.