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Finding the Fourth Proportional to 416,076.80, 624,115.20 and 411,929.60

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Solution

The fourth proportional to 416,076.80, 624,115.20 and 411,929.60 is: 617,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.80 : 624,115.20 = 411,929.60 : x
  2. Step 2: Convert to fraction form
    416,076.80/624,115.20 = 411,929.60/x
  3. Step 3: Cross multiply
    416,076.80x = 624,115.20 × 411,929.60
  4. Step 4: Simplify right side
    416,076.80x = 257,091,524,689.92
  5. Step 5: Solve for x
    x = 257,091,524,689.92/416,076.80
  6. Step 6: Final answer
    x = 617,894.40

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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.