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Finding the Fourth Proportional to 589,410.72, 813,386.88 and 321,138.72

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Solution

The fourth proportional to 589,410.72, 813,386.88 and 321,138.72 is: 443,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,410.72 : 813,386.88 = 321,138.72 : x
  2. Step 2: Convert to fraction form
    589,410.72/813,386.88 = 321,138.72/x
  3. Step 3: Cross multiply
    589,410.72x = 813,386.88 × 321,138.72
  4. Step 4: Simplify right side
    589,410.72x = 261,210,021,507.99
  5. Step 5: Solve for x
    x = 261,210,021,507.99/589,410.72
  6. Step 6: Final answer
    x = 443,171.48

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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.