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Finding the Fourth Proportional to 488,957.40, 733,868.10 and 289,027.80

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Solution

The fourth proportional to 488,957.40, 733,868.10 and 289,027.80 is: 433,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,957.40 : 733,868.10 = 289,027.80 : x
  2. Step 2: Convert to fraction form
    488,957.40/733,868.10 = 289,027.80/x
  3. Step 3: Cross multiply
    488,957.40x = 733,868.10 × 289,027.80
  4. Step 4: Simplify right side
    488,957.40x = 212,108,282,433.18
  5. Step 5: Solve for x
    x = 212,108,282,433.18/488,957.40
  6. Step 6: Final answer
    x = 433,797.06

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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.