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Finding the Fourth Proportional to 427,311.98, 589,700.86 and 233,737.87

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Solution

The fourth proportional to 427,311.98, 589,700.86 and 233,737.87 is: 322,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,311.98 : 589,700.86 = 233,737.87 : x
  2. Step 2: Convert to fraction form
    427,311.98/589,700.86 = 233,737.87/x
  3. Step 3: Cross multiply
    427,311.98x = 589,700.86 × 233,737.87
  4. Step 4: Simplify right side
    427,311.98x = 137,835,422,953.57
  5. Step 5: Solve for x
    x = 137,835,422,953.57/427,311.98
  6. Step 6: Final answer
    x = 322,563.91

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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.