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Finding the Fourth Proportional to 423,114.10, 583,912.60 and 232,133.02

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Solution

The fourth proportional to 423,114.10, 583,912.60 and 232,133.02 is: 320,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,114.10 : 583,912.60 = 232,133.02 : x
  2. Step 2: Convert to fraction form
    423,114.10/583,912.60 = 232,133.02/x
  3. Step 3: Cross multiply
    423,114.10x = 583,912.60 × 232,133.02
  4. Step 4: Simplify right side
    423,114.10x = 135,545,395,254.05
  5. Step 5: Solve for x
    x = 135,545,395,254.05/423,114.10
  6. Step 6: Final answer
    x = 320,351.87

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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.