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Finding the Fourth Proportional to 382,764.78, 574,179.58 and 116,527.50

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Solution

The fourth proportional to 382,764.78, 574,179.58 and 116,527.50 is: 174,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,764.78 : 574,179.58 = 116,527.50 : x
  2. Step 2: Convert to fraction form
    382,764.78/574,179.58 = 116,527.50/x
  3. Step 3: Cross multiply
    382,764.78x = 574,179.58 × 116,527.50
  4. Step 4: Simplify right side
    382,764.78x = 66,907,711,008.45
  5. Step 5: Solve for x
    x = 66,907,711,008.45/382,764.78
  6. Step 6: Final answer
    x = 174,801.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.