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Finding the Fourth Proportional to 289,560.20, 435,506.70 and 259,233.80

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Solution

The fourth proportional to 289,560.20, 435,506.70 and 259,233.80 is: 389,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,560.20 : 435,506.70 = 259,233.80 : x
  2. Step 2: Convert to fraction form
    289,560.20/435,506.70 = 259,233.80/x
  3. Step 3: Cross multiply
    289,560.20x = 435,506.70 × 259,233.80
  4. Step 4: Simplify right side
    289,560.20x = 112,898,056,766.46
  5. Step 5: Solve for x
    x = 112,898,056,766.46/289,560.20
  6. Step 6: Final answer
    x = 389,894.94

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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.