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Finding the Fourth Proportional to 313,893.78, 433,178.14 and 170,653.50

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Solution

The fourth proportional to 313,893.78, 433,178.14 and 170,653.50 is: 235,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,893.78 : 433,178.14 = 170,653.50 : x
  2. Step 2: Convert to fraction form
    313,893.78/433,178.14 = 170,653.50/x
  3. Step 3: Cross multiply
    313,893.78x = 433,178.14 × 170,653.50
  4. Step 4: Simplify right side
    313,893.78x = 73,923,365,714.49
  5. Step 5: Solve for x
    x = 73,923,365,714.49/313,893.78
  6. Step 6: Final answer
    x = 235,504.40

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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.