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Finding the Fourth Proportional to 314,477.34, 433,978.44 and 171,238.41

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Solution

The fourth proportional to 314,477.34, 433,978.44 and 171,238.41 is: 236,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,477.34 : 433,978.44 = 171,238.41 : x
  2. Step 2: Convert to fraction form
    314,477.34/433,978.44 = 171,238.41/x
  3. Step 3: Cross multiply
    314,477.34x = 433,978.44 × 171,238.41
  4. Step 4: Simplify right side
    314,477.34x = 74,313,778,039.88
  5. Step 5: Solve for x
    x = 74,313,778,039.88/314,477.34
  6. Step 6: Final answer
    x = 236,308.85

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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.