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Finding the Fourth Proportional to 589,121.50, 812,987.68 and 320,849.50

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Solution

The fourth proportional to 589,121.50, 812,987.68 and 320,849.50 is: 442,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,121.50 : 812,987.68 = 320,849.50 : x
  2. Step 2: Convert to fraction form
    589,121.50/812,987.68 = 320,849.50/x
  3. Step 3: Cross multiply
    589,121.50x = 812,987.68 × 320,849.50
  4. Step 4: Simplify right side
    589,121.50x = 260,846,690,634.16
  5. Step 5: Solve for x
    x = 260,846,690,634.16/589,121.50
  6. Step 6: Final answer
    x = 442,772.32

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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.