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Finding the Fourth Proportional to 515,910.16, 773,709.72 and 183,466

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Solution

The fourth proportional to 515,910.16, 773,709.72 and 183,466 is: 275,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,910.16 : 773,709.72 = 183,466 : x
  2. Step 2: Convert to fraction form
    515,910.16/773,709.72 = 183,466/x
  3. Step 3: Cross multiply
    515,910.16x = 773,709.72 × 183,466
  4. Step 4: Simplify right side
    515,910.16x = 141,949,427,489.52
  5. Step 5: Solve for x
    x = 141,949,427,489.52/515,910.16
  6. Step 6: Final answer
    x = 275,143.69

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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.