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Finding the Fourth Proportional to 514,629.84, 771,954.48 and 159,655.44

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Solution

The fourth proportional to 514,629.84, 771,954.48 and 159,655.44 is: 239,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,629.84 : 771,954.48 = 159,655.44 : x
  2. Step 2: Convert to fraction form
    514,629.84/771,954.48 = 159,655.44/x
  3. Step 3: Cross multiply
    514,629.84x = 771,954.48 × 159,655.44
  4. Step 4: Simplify right side
    514,629.84x = 123,246,732,164.37
  5. Step 5: Solve for x
    x = 123,246,732,164.37/514,629.84
  6. Step 6: Final answer
    x = 239,486.18

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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.