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Finding the Fourth Proportional to 471,462.60, 648,975.24 and 410,928.06

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Solution

The fourth proportional to 471,462.60, 648,975.24 and 410,928.06 is: 565,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,462.60 : 648,975.24 = 410,928.06 : x
  2. Step 2: Convert to fraction form
    471,462.60/648,975.24 = 410,928.06/x
  3. Step 3: Cross multiply
    471,462.60x = 648,975.24 × 410,928.06
  4. Step 4: Simplify right side
    471,462.60x = 266,682,136,361.23
  5. Step 5: Solve for x
    x = 266,682,136,361.23/471,462.60
  6. Step 6: Final answer
    x = 565,648.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.