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Finding the Fourth Proportional to 314,771.68, 434,385.48 and 171,532.36

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Solution

The fourth proportional to 314,771.68, 434,385.48 and 171,532.36 is: 236,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,771.68 : 434,385.48 = 171,532.36 : x
  2. Step 2: Convert to fraction form
    314,771.68/434,385.48 = 171,532.36/x
  3. Step 3: Cross multiply
    314,771.68x = 434,385.48 × 171,532.36
  4. Step 4: Simplify right side
    314,771.68x = 74,511,166,534.13
  5. Step 5: Solve for x
    x = 74,511,166,534.13/314,771.68
  6. Step 6: Final answer
    x = 236,714.96

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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.