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Finding the Fourth Proportional to 428,606.88, 642,865.20 and 175,914.08

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Solution

The fourth proportional to 428,606.88, 642,865.20 and 175,914.08 is: 263,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,606.88 : 642,865.20 = 175,914.08 : x
  2. Step 2: Convert to fraction form
    428,606.88/642,865.20 = 175,914.08/x
  3. Step 3: Cross multiply
    428,606.88x = 642,865.20 × 175,914.08
  4. Step 4: Simplify right side
    428,606.88x = 113,089,040,222.02
  5. Step 5: Solve for x
    x = 113,089,040,222.02/428,606.88
  6. Step 6: Final answer
    x = 263,852.60

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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.