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Finding the Fourth Proportional to 589,337.68, 813,384.64 and 347,680.24

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Solution

The fourth proportional to 589,337.68, 813,384.64 and 347,680.24 is: 479,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,337.68 : 813,384.64 = 347,680.24 : x
  2. Step 2: Convert to fraction form
    589,337.68/813,384.64 = 347,680.24/x
  3. Step 3: Cross multiply
    589,337.68x = 813,384.64 × 347,680.24
  4. Step 4: Simplify right side
    589,337.68x = 282,797,766,847.51
  5. Step 5: Solve for x
    x = 282,797,766,847.51/589,337.68
  6. Step 6: Final answer
    x = 479,856.92

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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.