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Finding the Fourth Proportional to 409,246.40, 613,723.80 and 143,015.60

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Solution

The fourth proportional to 409,246.40, 613,723.80 and 143,015.60 is: 214,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,246.40 : 613,723.80 = 143,015.60 : x
  2. Step 2: Convert to fraction form
    409,246.40/613,723.80 = 143,015.60/x
  3. Step 3: Cross multiply
    409,246.40x = 613,723.80 × 143,015.60
  4. Step 4: Simplify right side
    409,246.40x = 87,772,077,491.28
  5. Step 5: Solve for x
    x = 87,772,077,491.28/409,246.40
  6. Step 6: Final answer
    x = 214,472.45

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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.