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Finding the Fourth Proportional to 601,142.02, 827,903.34 and 464,673.22

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Solution

The fourth proportional to 601,142.02, 827,903.34 and 464,673.22 is: 639,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,142.02 : 827,903.34 = 464,673.22 : x
  2. Step 2: Convert to fraction form
    601,142.02/827,903.34 = 464,673.22/x
  3. Step 3: Cross multiply
    601,142.02x = 827,903.34 × 464,673.22
  4. Step 4: Simplify right side
    601,142.02x = 384,704,510,846.56
  5. Step 5: Solve for x
    x = 384,704,510,846.56/601,142.02
  6. Step 6: Final answer
    x = 639,956.11

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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.