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Finding the Fourth Proportional to 589,415.42, 813,462.42 and 331,292.72

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Solution

The fourth proportional to 589,415.42, 813,462.42 and 331,292.72 is: 457,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,415.42 : 813,462.42 = 331,292.72 : x
  2. Step 2: Convert to fraction form
    589,415.42/813,462.42 = 331,292.72/x
  3. Step 3: Cross multiply
    589,415.42x = 813,462.42 × 331,292.72
  4. Step 4: Simplify right side
    589,415.42x = 269,494,177,739.58
  5. Step 5: Solve for x
    x = 269,494,177,739.58/589,415.42
  6. Step 6: Final answer
    x = 457,222.82

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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.