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Finding the Fourth Proportional to 509,151.75, 702,651.30 and 282,797.25

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Solution

The fourth proportional to 509,151.75, 702,651.30 and 282,797.25 is: 390,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,151.75 : 702,651.30 = 282,797.25 : x
  2. Step 2: Convert to fraction form
    509,151.75/702,651.30 = 282,797.25/x
  3. Step 3: Cross multiply
    509,151.75x = 702,651.30 × 282,797.25
  4. Step 4: Simplify right side
    509,151.75x = 198,707,855,348.93
  5. Step 5: Solve for x
    x = 198,707,855,348.93/509,151.75
  6. Step 6: Final answer
    x = 390,272.36

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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.