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Finding the Fourth Proportional to 647,777.12, 893,934 and 361,315.84

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Solution

The fourth proportional to 647,777.12, 893,934 and 361,315.84 is: 498,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,777.12 : 893,934 = 361,315.84 : x
  2. Step 2: Convert to fraction form
    647,777.12/893,934 = 361,315.84/x
  3. Step 3: Cross multiply
    647,777.12x = 893,934 × 361,315.84
  4. Step 4: Simplify right side
    647,777.12x = 322,992,514,114.56
  5. Step 5: Solve for x
    x = 322,992,514,114.56/647,777.12
  6. Step 6: Final answer
    x = 498,616.74

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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.