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Finding the Fourth Proportional to 589,625.40, 813,685.80 and 334,990.56

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Solution

The fourth proportional to 589,625.40, 813,685.80 and 334,990.56 is: 462,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,625.40 : 813,685.80 = 334,990.56 : x
  2. Step 2: Convert to fraction form
    589,625.40/813,685.80 = 334,990.56/x
  3. Step 3: Cross multiply
    589,625.40x = 813,685.80 × 334,990.56
  4. Step 4: Simplify right side
    589,625.40x = 272,577,061,806.05
  5. Step 5: Solve for x
    x = 272,577,061,806.05/589,625.40
  6. Step 6: Final answer
    x = 462,288.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.