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Finding the Fourth Proportional to 416,002.80, 624,004.20 and 412,892.40

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Solution

The fourth proportional to 416,002.80, 624,004.20 and 412,892.40 is: 619,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,002.80 : 624,004.20 = 412,892.40 : x
  2. Step 2: Convert to fraction form
    416,002.80/624,004.20 = 412,892.40/x
  3. Step 3: Cross multiply
    416,002.80x = 624,004.20 × 412,892.40
  4. Step 4: Simplify right side
    416,002.80x = 257,646,591,748.08
  5. Step 5: Solve for x
    x = 257,646,591,748.08/416,002.80
  6. Step 6: Final answer
    x = 619,338.60

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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.