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Finding the Fourth Proportional to 415,014.80, 622,522.20 and 411,904.40

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Solution

The fourth proportional to 415,014.80, 622,522.20 and 411,904.40 is: 617,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,014.80 : 622,522.20 = 411,904.40 : x
  2. Step 2: Convert to fraction form
    415,014.80/622,522.20 = 411,904.40/x
  3. Step 3: Cross multiply
    415,014.80x = 622,522.20 × 411,904.40
  4. Step 4: Simplify right side
    415,014.80x = 256,419,633,277.68
  5. Step 5: Solve for x
    x = 256,419,633,277.68/415,014.80
  6. Step 6: Final answer
    x = 617,856.60

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1.5x scale

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.