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Finding the Fourth Proportional to 314,436.33, 433,916.60 and 171,193.91

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Solution

The fourth proportional to 314,436.33, 433,916.60 and 171,193.91 is: 236,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,436.33 : 433,916.60 = 171,193.91 : x
  2. Step 2: Convert to fraction form
    314,436.33/433,916.60 = 171,193.91/x
  3. Step 3: Cross multiply
    314,436.33x = 433,916.60 × 171,193.91
  4. Step 4: Simplify right side
    314,436.33x = 74,283,876,342.35
  5. Step 5: Solve for x
    x = 74,283,876,342.35/314,436.33
  6. Step 6: Final answer
    x = 236,244.57

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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.