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Finding the Fourth Proportional to 428,232.40, 641,681.40 and 161,847.60

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Solution

The fourth proportional to 428,232.40, 641,681.40 and 161,847.60 is: 242,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,232.40 : 641,681.40 = 161,847.60 : x
  2. Step 2: Convert to fraction form
    428,232.40/641,681.40 = 161,847.60/x
  3. Step 3: Cross multiply
    428,232.40x = 641,681.40 × 161,847.60
  4. Step 4: Simplify right side
    428,232.40x = 103,854,594,554.64
  5. Step 5: Solve for x
    x = 103,854,594,554.64/428,232.40
  6. Step 6: Final answer
    x = 242,519.24

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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.