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Finding the Fourth Proportional to 454,952.80, 682,429.20 and 202,232.80

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Solution

The fourth proportional to 454,952.80, 682,429.20 and 202,232.80 is: 303,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,952.80 : 682,429.20 = 202,232.80 : x
  2. Step 2: Convert to fraction form
    454,952.80/682,429.20 = 202,232.80/x
  3. Step 3: Cross multiply
    454,952.80x = 682,429.20 × 202,232.80
  4. Step 4: Simplify right side
    454,952.80x = 138,009,567,917.76
  5. Step 5: Solve for x
    x = 138,009,567,917.76/454,952.80
  6. Step 6: Final answer
    x = 303,349.20

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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.