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Finding the Fourth Proportional to 568,950.24, 785,122.32 and 314,252.16

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Solution

The fourth proportional to 568,950.24, 785,122.32 and 314,252.16 is: 433,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,950.24 : 785,122.32 = 314,252.16 : x
  2. Step 2: Convert to fraction form
    568,950.24/785,122.32 = 314,252.16/x
  3. Step 3: Cross multiply
    568,950.24x = 785,122.32 × 314,252.16
  4. Step 4: Simplify right side
    568,950.24x = 246,726,384,924.21
  5. Step 5: Solve for x
    x = 246,726,384,924.21/568,950.24
  6. Step 6: Final answer
    x = 433,651.96

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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.