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Finding the Fourth Proportional to 523,896.42, 785,849.49 and 208,433.82

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Solution

The fourth proportional to 523,896.42, 785,849.49 and 208,433.82 is: 312,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,896.42 : 785,849.49 = 208,433.82 : x
  2. Step 2: Convert to fraction form
    523,896.42/785,849.49 = 208,433.82/x
  3. Step 3: Cross multiply
    523,896.42x = 785,849.49 × 208,433.82
  4. Step 4: Simplify right side
    523,896.42x = 163,797,611,145.75
  5. Step 5: Solve for x
    x = 163,797,611,145.75/523,896.42
  6. Step 6: Final answer
    x = 312,652.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.