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Finding the Fourth Proportional to 340,199.63, 510,614.69 and 171,837.97

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Solution

The fourth proportional to 340,199.63, 510,614.69 and 171,837.97 is: 257,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,199.63 : 510,614.69 = 171,837.97 : x
  2. Step 2: Convert to fraction form
    340,199.63/510,614.69 = 171,837.97/x
  3. Step 3: Cross multiply
    340,199.63x = 510,614.69 × 171,837.97
  4. Step 4: Simplify right side
    340,199.63x = 87,742,988,369.52
  5. Step 5: Solve for x
    x = 87,742,988,369.52/340,199.63
  6. Step 6: Final answer
    x = 257,916.18

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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.