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Finding the Fourth Proportional to 415,611.40, 621,861.90 and 275,643.40

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Solution

The fourth proportional to 415,611.40, 621,861.90 and 275,643.40 is: 412,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,611.40 : 621,861.90 = 275,643.40 : x
  2. Step 2: Convert to fraction form
    415,611.40/621,861.90 = 275,643.40/x
  3. Step 3: Cross multiply
    415,611.40x = 621,861.90 × 275,643.40
  4. Step 4: Simplify right side
    415,611.40x = 171,412,128,446.46
  5. Step 5: Solve for x
    x = 171,412,128,446.46/415,611.40
  6. Step 6: Final answer
    x = 412,433.65

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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.