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Finding the Fourth Proportional to 704,173.23, 971,732.82 and 417,521.79

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Solution

The fourth proportional to 704,173.23, 971,732.82 and 417,521.79 is: 576,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,173.23 : 971,732.82 = 417,521.79 : x
  2. Step 2: Convert to fraction form
    704,173.23/971,732.82 = 417,521.79/x
  3. Step 3: Cross multiply
    704,173.23x = 971,732.82 × 417,521.79
  4. Step 4: Simplify right side
    704,173.23x = 405,719,626,408.15
  5. Step 5: Solve for x
    x = 405,719,626,408.15/704,173.23
  6. Step 6: Final answer
    x = 576,164.51

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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.