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Finding the Fourth Proportional to 589,378.84, 813,410.20 and 327,760.24

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Solution

The fourth proportional to 589,378.84, 813,410.20 and 327,760.24 is: 452,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,378.84 : 813,410.20 = 327,760.24 : x
  2. Step 2: Convert to fraction form
    589,378.84/813,410.20 = 327,760.24/x
  3. Step 3: Cross multiply
    589,378.84x = 813,410.20 × 327,760.24
  4. Step 4: Simplify right side
    589,378.84x = 266,603,522,370.45
  5. Step 5: Solve for x
    x = 266,603,522,370.45/589,378.84
  6. Step 6: Final answer
    x = 452,346.61

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1.5x scale

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.