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Finding the Fourth Proportional to 589,299.40, 813,238.83 and 334,652.41

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Solution

The fourth proportional to 589,299.40, 813,238.83 and 334,652.41 is: 461,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,299.40 : 813,238.83 = 334,652.41 : x
  2. Step 2: Convert to fraction form
    589,299.40/813,238.83 = 334,652.41/x
  3. Step 3: Cross multiply
    589,299.40x = 813,238.83 × 334,652.41
  4. Step 4: Simplify right side
    589,299.40x = 272,152,334,365.08
  5. Step 5: Solve for x
    x = 272,152,334,365.08/589,299.40
  6. Step 6: Final answer
    x = 461,823.54

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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.