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Finding the Fourth Proportional to 416,050.80, 624,076.20 and 411,903.60

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Solution

The fourth proportional to 416,050.80, 624,076.20 and 411,903.60 is: 617,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,050.80 : 624,076.20 = 411,903.60 : x
  2. Step 2: Convert to fraction form
    416,050.80/624,076.20 = 411,903.60/x
  3. Step 3: Cross multiply
    416,050.80x = 624,076.20 × 411,903.60
  4. Step 4: Simplify right side
    416,050.80x = 257,059,233,454.32
  5. Step 5: Solve for x
    x = 257,059,233,454.32/416,050.80
  6. Step 6: Final answer
    x = 617,855.40

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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.