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Finding the Fourth Proportional to 428,975.47, 643,467.80 and 129,458.73

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Solution

The fourth proportional to 428,975.47, 643,467.80 and 129,458.73 is: 194,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,975.47 : 643,467.80 = 129,458.73 : x
  2. Step 2: Convert to fraction form
    428,975.47/643,467.80 = 129,458.73/x
  3. Step 3: Cross multiply
    428,975.47x = 643,467.80 × 129,458.73
  4. Step 4: Simplify right side
    428,975.47x = 83,302,526,435.07
  5. Step 5: Solve for x
    x = 83,302,526,435.07/428,975.47
  6. Step 6: Final answer
    x = 194,189.49

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