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Finding the Fourth Proportional to 414,644.32, 621,917.14 and 243,968.11

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Solution

The fourth proportional to 414,644.32, 621,917.14 and 243,968.11 is: 365,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,644.32 : 621,917.14 = 243,968.11 : x
  2. Step 2: Convert to fraction form
    414,644.32/621,917.14 = 243,968.11/x
  3. Step 3: Cross multiply
    414,644.32x = 621,917.14 × 243,968.11
  4. Step 4: Simplify right side
    414,644.32x = 151,727,949,222.41
  5. Step 5: Solve for x
    x = 151,727,949,222.41/414,644.32
  6. Step 6: Final answer
    x = 365,923.13

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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.