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Finding the Fourth Proportional to 466,586.34, 698,758.52 and 266,299.56

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Solution

The fourth proportional to 466,586.34, 698,758.52 and 266,299.56 is: 398,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,586.34 : 698,758.52 = 266,299.56 : x
  2. Step 2: Convert to fraction form
    466,586.34/698,758.52 = 266,299.56/x
  3. Step 3: Cross multiply
    466,586.34x = 698,758.52 × 266,299.56
  4. Step 4: Simplify right side
    466,586.34x = 186,079,086,422.25
  5. Step 5: Solve for x
    x = 186,079,086,422.25/466,586.34
  6. Step 6: Final answer
    x = 398,809.55

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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.