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Finding the Fourth Proportional to 604,198.29, 906,297.43 and 287,695.65

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Solution

The fourth proportional to 604,198.29, 906,297.43 and 287,695.65 is: 431,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,198.29 : 906,297.43 = 287,695.65 : x
  2. Step 2: Convert to fraction form
    604,198.29/906,297.43 = 287,695.65/x
  3. Step 3: Cross multiply
    604,198.29x = 906,297.43 × 287,695.65
  4. Step 4: Simplify right side
    604,198.29x = 260,737,827,147.21
  5. Step 5: Solve for x
    x = 260,737,827,147.21/604,198.29
  6. Step 6: Final answer
    x = 431,543.47

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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.