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Finding the Fourth Proportional to 509,411.88, 763,428.51 and 193,696.56

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Solution

The fourth proportional to 509,411.88, 763,428.51 and 193,696.56 is: 290,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,411.88 : 763,428.51 = 193,696.56 : x
  2. Step 2: Convert to fraction form
    509,411.88/763,428.51 = 193,696.56/x
  3. Step 3: Cross multiply
    509,411.88x = 763,428.51 × 193,696.56
  4. Step 4: Simplify right side
    509,411.88x = 147,873,476,192.93
  5. Step 5: Solve for x
    x = 147,873,476,192.93/509,411.88
  6. Step 6: Final answer
    x = 290,282.74

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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.