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Finding the Fourth Proportional to 414,493.60, 621,740.40 and 281,437.60

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Solution

The fourth proportional to 414,493.60, 621,740.40 and 281,437.60 is: 422,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,493.60 : 621,740.40 = 281,437.60 : x
  2. Step 2: Convert to fraction form
    414,493.60/621,740.40 = 281,437.60/x
  3. Step 3: Cross multiply
    414,493.60x = 621,740.40 × 281,437.60
  4. Step 4: Simplify right side
    414,493.60x = 174,981,125,999.04
  5. Step 5: Solve for x
    x = 174,981,125,999.04/414,493.60
  6. Step 6: Final answer
    x = 422,156.40

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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.