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Finding the Fourth Proportional to 510,653.84, 766,033.12 and 195,375.92

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Solution

The fourth proportional to 510,653.84, 766,033.12 and 195,375.92 is: 293,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,653.84 : 766,033.12 = 195,375.92 : x
  2. Step 2: Convert to fraction form
    510,653.84/766,033.12 = 195,375.92/x
  3. Step 3: Cross multiply
    510,653.84x = 766,033.12 × 195,375.92
  4. Step 4: Simplify right side
    510,653.84x = 149,664,425,570.47
  5. Step 5: Solve for x
    x = 149,664,425,570.47/510,653.84
  6. Step 6: Final answer
    x = 293,083.91

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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.