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Finding the Fourth Proportional to 314,409.88, 433,893.43 and 171,177.78

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Solution

The fourth proportional to 314,409.88, 433,893.43 and 171,177.78 is: 236,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,409.88 : 433,893.43 = 171,177.78 : x
  2. Step 2: Convert to fraction form
    314,409.88/433,893.43 = 171,177.78/x
  3. Step 3: Cross multiply
    314,409.88x = 433,893.43 × 171,177.78
  4. Step 4: Simplify right side
    314,409.88x = 74,272,915,206.17
  5. Step 5: Solve for x
    x = 74,272,915,206.17/314,409.88
  6. Step 6: Final answer
    x = 236,229.59

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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.