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Finding the Fourth Proportional to 589,376.83, 813,407.43 and 327,758.24

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Solution

The fourth proportional to 589,376.83, 813,407.43 and 327,758.24 is: 452,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,376.83 : 813,407.43 = 327,758.24 : x
  2. Step 2: Convert to fraction form
    589,376.83/813,407.43 = 327,758.24/x
  3. Step 3: Cross multiply
    589,376.83x = 813,407.43 × 327,758.24
  4. Step 4: Simplify right side
    589,376.83x = 266,600,987,659.72
  5. Step 5: Solve for x
    x = 266,600,987,659.72/589,376.83
  6. Step 6: Final answer
    x = 452,343.86

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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.