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Finding the Fourth Proportional to 589,412.70, 813,378.51 and 327,784.05

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Solution

The fourth proportional to 589,412.70, 813,378.51 and 327,784.05 is: 452,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,412.70 : 813,378.51 = 327,784.05 : x
  2. Step 2: Convert to fraction form
    589,412.70/813,378.51 = 327,784.05/x
  3. Step 3: Cross multiply
    589,412.70x = 813,378.51 × 327,784.05
  4. Step 4: Simplify right side
    589,412.70x = 266,612,502,190.77
  5. Step 5: Solve for x
    x = 266,612,502,190.77/589,412.70
  6. Step 6: Final answer
    x = 452,335.86

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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.