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Finding the Fourth Proportional to 314,675.20, 434,250.48 and 171,434.80

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Solution

The fourth proportional to 314,675.20, 434,250.48 and 171,434.80 is: 236,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,675.20 : 434,250.48 = 171,434.80 : x
  2. Step 2: Convert to fraction form
    314,675.20/434,250.48 = 171,434.80/x
  3. Step 3: Cross multiply
    314,675.20x = 434,250.48 × 171,434.80
  4. Step 4: Simplify right side
    314,675.20x = 74,445,644,188.70
  5. Step 5: Solve for x
    x = 74,445,644,188.70/314,675.20
  6. Step 6: Final answer
    x = 236,579.32

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