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Finding the Fourth Proportional to 299,232.42, 412,956.54 and 171,916.26

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Solution

The fourth proportional to 299,232.42, 412,956.54 and 171,916.26 is: 237,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232.42 : 412,956.54 = 171,916.26 : x
  2. Step 2: Convert to fraction form
    299,232.42/412,956.54 = 171,916.26/x
  3. Step 3: Cross multiply
    299,232.42x = 412,956.54 × 171,916.26
  4. Step 4: Simplify right side
    299,232.42x = 70,993,943,899.34
  5. Step 5: Solve for x
    x = 70,993,943,899.34/299,232.42
  6. Step 6: Final answer
    x = 237,253.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.