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Finding the Fourth Proportional to 467,298.21, 644,551.32 and 286,099.64

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Solution

The fourth proportional to 467,298.21, 644,551.32 and 286,099.64 is: 394,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,298.21 : 644,551.32 = 286,099.64 : x
  2. Step 2: Convert to fraction form
    467,298.21/644,551.32 = 286,099.64/x
  3. Step 3: Cross multiply
    467,298.21x = 644,551.32 × 286,099.64
  4. Step 4: Simplify right side
    467,298.21x = 184,405,904,506.31
  5. Step 5: Solve for x
    x = 184,405,904,506.31/467,298.21
  6. Step 6: Final answer
    x = 394,621.46

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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.