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Finding the Fourth Proportional to 310,834.98, 466,250.94 and 268,586.49

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Solution

The fourth proportional to 310,834.98, 466,250.94 and 268,586.49 is: 402,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834.98 : 466,250.94 = 268,586.49 : x
  2. Step 2: Convert to fraction form
    310,834.98/466,250.94 = 268,586.49/x
  3. Step 3: Cross multiply
    310,834.98x = 466,250.94 × 268,586.49
  4. Step 4: Simplify right side
    310,834.98x = 125,228,703,433.80
  5. Step 5: Solve for x
    x = 125,228,703,433.80/310,834.98
  6. Step 6: Final answer
    x = 402,878.41

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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.