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Finding the Fourth Proportional to 385,912.94, 532,390.10 and 232,865.82

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Solution

The fourth proportional to 385,912.94, 532,390.10 and 232,865.82 is: 321,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,912.94 : 532,390.10 = 232,865.82 : x
  2. Step 2: Convert to fraction form
    385,912.94/532,390.10 = 232,865.82/x
  3. Step 3: Cross multiply
    385,912.94x = 532,390.10 × 232,865.82
  4. Step 4: Simplify right side
    385,912.94x = 123,975,456,032.05
  5. Step 5: Solve for x
    x = 123,975,456,032.05/385,912.94
  6. Step 6: Final answer
    x = 321,252.40

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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.