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Finding the Fourth Proportional to 341,806.80, 512,710.20 and 322,123.80

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Solution

The fourth proportional to 341,806.80, 512,710.20 and 322,123.80 is: 483,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,806.80 : 512,710.20 = 322,123.80 : x
  2. Step 2: Convert to fraction form
    341,806.80/512,710.20 = 322,123.80/x
  3. Step 3: Cross multiply
    341,806.80x = 512,710.20 × 322,123.80
  4. Step 4: Simplify right side
    341,806.80x = 165,156,157,922.76
  5. Step 5: Solve for x
    x = 165,156,157,922.76/341,806.80
  6. Step 6: Final answer
    x = 483,185.70

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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.